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Our … Calculus Graph 3x+5y+15=0 3x + 5y + 15 = 0 3 x + 5 y + 15 = 0 Solve for y y. The given equation can be rewritten as y = -3/5x + 3. Tap for more steps y = − 21 5 y = - 21 5. Substitute −1 - 1 for x x and find the result for y y. Tenemos el sistema de ecuaciones:. heart outlined To find the y-intercept of the equation 3x - 5y - 15, set x = 0 and solve for y.2019 Math Secondary School answered • expert verified Five solutions for the linear equation 3x + 5y = 15 Give five solutions for the linear equation :- 3x + 5y = 15 When x = 0 =》 3(0) + 5y = 15 =》 5y Transcript.600 x-intercept = -15/3 = -5 y-intercept = 15/5 = 3 Rearrange: Rearrange the equation by subtracting what is to the How do you solve the system of linear equations \displaystyle{2}{x}+{3}{y}={7} and \displaystyle-{3}{x}-{5}{y}=-{13} ? Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.1, 3 Solve the following Linear Programming Problems graphically: Maximise Z = 5x + 3y subject to 3x + 5y ≤ 15, 5x + 2y ≤ 10, x ≥ 0, y ≥ 0. The y-intercept is where x=0, which equals 3. 3x + 5y = 15. View Solution Q 4 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Matrix. Step 1. 5y = 15 or y = 3. Step 1. For this we graph inequality, Prealgebra questions and answers. So by putting value of y = 0 in above equation we get. Rewrite in slope-intercept form. Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. What is the equation of the graphed line written in standard form? 3x + y = –5 x + 3y = –5 3x – 5y = –15 5x – 3y = 15 Answer link. Tap for more steps Step 1. 2.
Finite Math Solve for y 3x-5y=15 3x − 5y = 15 3 x - 5 y = 15 Subtract 3x 3 x from both sides of the equation. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).000 = 1. x=5 .Algebra Find the Slope and y-intercept 3x+5y-15=0 3x + 5y − 15 = 0 3 x + 5 y - 15 = 0 Rewrite in slope-intercept form. Tap for more steps y = −3+ 3x 5 y = - 3 + 3 x 5 Explanation: the equation of a line in slope-intercept form is. y. Divide whole equation by 5. Divide each term in by and simplify. So if you have an equation of a line: 2y + 4x = 28. Step 1. Quiz Simultaneous Equation x− y− 5 = 0,3x+ 5y −15 = 0 Similar Problems from Web Search 4x−y −4 = 0;3x+2y −14 = 0 3x+5y+15=0. Step 1.50000 y-intercept = 15/-5 = 3/-1 = -3. Example: 2x-1=y,2y+3=x. Any expression multiplied by 0 equals 0. 1 Solving Systems of Linear Inequalities. The y-intercept is (0, -3).exactly two 3. A line cutting off intercept -3 from the y -axis and the tangent of angle to the x -axis is 3 5 , its equation is Linear equation. Algebra Calculator - get free step-by-step solutions for your algebra math problems. We have, To solve the equation 3x + 5y = 15 for y, we need to isolate the variable y on one side of the equation.1 Solve 3x-5y-15 = 0. Tiger recognizes that we have here an equation of a straight line. Substitute −1 - …. Evaluate. A coordinate plane with a line passing through (0, negative 5) and (3, 0). (b) Sketch the graph of this function for −5 ≤ x ≤ 10. such a u can get infinite number of solutions .33333 y-intercept = 16/5 = 3. Limits. Find the parallel line using the point x + 15 = 15 x = 0. So, the region containing the origin represent the solution of the in equation 3x + 5y ≤ 15. you will get different y value.200/2. Tap for more steps Write in Standard Form 3x+5y=-15. Step 2: Substitute the expression for x in the second equation: 6((5y + 15)/3) - 10y = 30. Tiger recognizes that we have here an equation of a straight line. A quadratic equation is a second degree polynomial having the general form ax^2 + bx + c = 0, where a, b, and c Save to Notebook! Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. x . Integration.1 Solve 3x+5y-15 = 0. With two points, you can draw a line In this exercise, students will learn how to solve linear equations with the help of various solved examples. Limits. subject to constraints: x+y ≥8 3x+5y ≤ 15 x ≥ 0 y ≥0 ( 1st quadrant) First we will draw a graph for the constraints. 0. Divide each term in −5y = 15−3x - 5 y = 15 - 3 x by −5 - 5 and simplify. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework 3x + 0 = 15. Use the slope-intercept form to find the slope and y-intercept. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Differentiation. Get Step by Step Now. m = −3 5 m = - 3 5. Rewrite in slope-intercept form. 3x=15 or x = 5. The given equations are: Putting in equation we get: Putting in equation (i) we get: Use the following table to draw the graph. Advertisement Advertisement Step by step video & image solution for Solve the following system of linear equations graphically: 4x-5y-20=0,\ \ \ 3x+5y-15=0 Determine the vertices of the triangle formed by the lines representing the above equation and the y-axis. Find step-by-step Algebra solutions and your answer to the following textbook question: Sketch the graph of each equation. Divide each term in by and simplify.2019 Math Secondary School answered • expert verified Five solutions for the linear equation 3x + 5y = 15 Give five solutions for the linear equation :- 3x + 5y = 15 When x = 0 =》 3(0) + 5y = 15 =》 5y Transcript. Find the y-intercept 3x+5y=15.25x+0. 3x=15. Step 1. divide all terms by 5. The obtained coordinates are matching with graph B. So y= 3- (3/5)x. DIAN EKA WATI. 3x + 5y = 15. Tentukan persamaan peta dari garis 3x dikurang 5 y + 15 = 0 oleh dilatasi terhadap pusat 0,0 dengan faktor skala 5 adalah pembesaran atau pengecilan suatu objek rumus dari dilatasi adalah sebagai berikut pada gambar ini adalah grafik dari dilatasi dan jenis makanannya adalah rumusnya untuk a kecil di sini kita presentasikan sebagai X dan b kecil serta presentasikan sebagai Graph 3x+5y=-5 | Mathway. Draw the graph of the equation 3x + 5y − 15 = 0 and show that x = 1, y = 2 is not a solution of the given equation. m = 3 5 m = 3 5. linear-inequalities-calculator.200/2. Find the solution for the following pair of equations. Step 2. 0 = -3/5x + 3 x = 5 The point is: (5,0). Step 1. Tap for more steps x y 0 0 5 3 x y 0 0 5 3. Rewrite in slope-intercept form.1 petS spets erom rof paT . To graph the equation , we need to get y alone. so, 3X + 5Y = 15. For chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. 3(−2)− 5y = 15 3 ( - 2) - 5 y = 15. Q. Now, plot the points D(-5, 6), E(0, 3) and F(5, 0) on the same graph paper and join D, E and F to get the graph of 3x + 5y - 15 = 0. Tiger recognizes that we have here an equation of a straight line.5. Q. 3x-5y=15. The slope-intercept form is , where is the slope and is the y-intercept. Simplifying this equation, we have: -5y - 15 = 0. x . 3 3x + 5y = 21. For the x-intercept, we set y=0 and solve for x. A coordinate plane with a line passing through (0, negative 5) and (3, 0). 3x = 5y + 15.3. Substitute −2 - 2 for x x and find the result for y y. Set x=0 and solve for y gives you the y-intercept (0,-3). Algebra Find the Slope and y-intercept 3x+5y-15=0 3x + 5y − 15 = 0 3 x + 5 y - 15 = 0 Rewrite in slope-intercept form. loading.08. 3x+5y=15. Slope: 3 5 3 5. Ex 12. Rewrite in slope-intercept form. Free math problem solver answers your algebra, geometry, trigonometry Ex 3. Tap for more steps y = −3+ 3x 5 y = - 3 + 3 x 5. (iv) x−3y−7=0;3x−3y−15=0. Plot the two points on the coordinate plane, then draw a broken Algebra. ⇒ y = − 3 5x +3 ← in slope-intercept form. Using the slope-intercept form, the slope is 3 5 3 5. First, graph the related equation (3x - 5y =15) Since the equation is in standard form, the simplest way to do this is by finding the intercepts. See a solution process below: To find the intercepts, equate one variable to 0 and solve for the other variable: y-intercept Set x to 0 and solve for y giving: 3x - 5y = 15 becomes: (3 * 0) - 5y = 15 0 - 5y = 15 -5y = 15 (-5y)/color (red) (-5) = 15/color (red) (-5) (color (red) (cancel (color (black) (-5)))y)/cancel (color (red Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Find the Slope of a Perpendicular Line 3x+5y=15. 3 (0) - 5y = 15. The slope-intercept form is , where is the slope and is the y-intercept. Q. In which quadrant the point P lies? Find step-by-step Algebra solutions and your answer to the following textbook question: Use intercepts to graph the linear equation. Ex 12. This simplifies to: 5y = 15 - 3x. Set y=0 and solve for x gives you the x-intercept (5,0).2. The given equation is.200 x-intercept = 15/6 = 5/2 = 2. loading. 3x + 5y = 15. 1 / 4. Tap for more steps x-intercept (s): (−5,0) ( - 5, 0) Find the y-intercepts. 3x-5y=-15 Geometric figure: Straight Line Slope = 1. Sketch the graph of each equation. Study with Quizlet and memorize flashcards containing terms like How many solutions are there to the system of equations? 4x-5y=5 -0. Tap for more steps y = − 3 5x+3 y = - 3 5 x + 3 Use the slope-intercept form to find the slope and y-intercept.lauqe eb tsum sepols eht ,lellarap si taht noitauqe na dnif oT . Solution. To solve systems of linear inequalities, graph the solution sets of each inequality on the same set of axes and determine where they intersect. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Rewrite in slope-intercept form. To find the slope of a line perpendicular to the given line 3x + 5y = 15, we first need to find the slope of this given line. x = 0.000 = -0. From the graph, it is clear that, the given lines intersect at (5, 0). 3x − 5y − 15 = 0 3 x - 5 y - 15 = 0.9- = y3-x2 . Let x=-10 and solve A(5, 0);B(0, 3) Join points A and B to obtain the line.infinite explain See answers Advertisement Advertisement if x= 0. Divide each term in by and simplify. So by putting value of y = 0 in above equation we get.9k points) selected Oct 1, 2020 by Anika01 . How do you find the slope of the graph of 3x + 5y = 10 ? −53 is the slope of the line. A point P on the line 3x + 5y - 15 = 0 is equidistant from the coordinates axes. Answer %counter 3x + 5y = 15 5y = -3x + 15 y = -3/5x+ 3. Iklan. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. 3x + 5y = 15 3 x + 5 y = 15. Two points on the graph is (-5,0) and (0,-3) Graph is option A y = − 5 3x+5 y = - 5 3 x + 5. Explore math with our beautiful, free online graphing calculator. The slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. See tutors like this. From the graph, it is clear that, the given lines intersect at (5, 0). 3x − 5y − 15 = 0 3 x - 5 y - 15 = 0. Quadratic equation { x } ^ { 2 } - … Algebra Calculator - get free step-by-step solutions for your algebra math problems. Find the y-intercept 3x+5y=15. First you have to get rid of one of the letters: Explanation: Multiply everything in the first equation A coordinate plane with a line passing through (0, negative 5) and (3, 0). Write in y=mx+b Form 3x-5y-15=0. To graph this equation , we need to make a table. Tap for more steps Select two x x values, and plug them into the equation to find the corresponding y y values.Hence for no value of ′x′ can the expression x = 3x+2y be minimized . en. The x-intercept is where y = 0. 3x + 5y = –15. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Use the slope-intercept form to find the slope and y-intercept. What is the equation of the graphed line written in standard form? 3x + y = -5 x + 3y = -5 3x - 5y = -15 5x - 3y = 15 Answer link. Substitute 0 for y in 3x+5y-15=0. primer paso: elegimos una ecuación y despejamos una de las incógnitas: 3x+5y = 15.
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3 of Chapter 13 deals with the graph of linear equations in two variables. y = mx +b y = m x + b.1. Free slope calculator - find the slope of a line given two points, a function or the intercept step-by-step. Nursyifa ayni hasan. To graph the equation , we need to get y alone. Reorder and . meeeee0610 meeeee0610 21.00000 Step by step solution : Step 1 Equation of a Straight Line. Elisabath Uli Artha. Ini yang aku cari! DE. What is the equation of the graphed line written in standard form? 3x + y = -5 x + 3y = -5 3x - 5y = -15 5x - 3y = 15.1, 4 Solve the following Linear Programming Problems graphically: Minimise Z = 3x + 5y such that x + 3y 3, x + y 2, x, y 0.200 x-intercept = 15/6 = 5/2 = 2. Subtract from both sides of the equation. The slope-intercept form is , where is the slope and is the y-intercept. asked Aug 2, 2021 in Linear Programming by subhanansarii (25 points) linear programming; class-12; 0 votes. Tap for more steps Slope: 3 5 3 5. x intercept happens when y = 0. Write the equation of the line that passes through the given point and is parallel to the given line. Algebra. Algebra. To graph an equation, Click on 'Graph', type in the equation '3x + 5y = 15' and click on 'Solve': Click here to see the graph. Draw a graph describing the given inequalities as follows: From the graph, it is clear that the critical points are ( 0, 0), ( 2, 0), ( 0, 3) and 20 19 View the full answer. You can put this solution on YOUR website! First solve for y, when x = 0 3(0)-5y=15-5y=15 y=-3 y = 0 3x-5(0)=15 3x=15 x=5 Hence, on the grid on the horizontal axis or the x-intercept; is 5,0 and the vertical axis or the y-intercept ;is 0,-3 Luego de sustituir el punto en la recta y realizar los despejes respectivos hemos encontrado que el valor de w tal que el punto (a; w) pasa por la recta 3x-5y 15=0 es el de w=27/5. equation-calculator. 4x − 5y − 20 = 0 3x + 5y − 15 = 0 Determine the vertices of the triangle formed by the lines representing the above equation and the y-axis. Subtract from both sides of the equation. The x intercept is (7,0) 2 comments. Q. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.600 x-intercept = 15/3 = 5 y-intercept = 15/5 = 3 Rearrange: Rearrange the equation by subtracting what is to the Popular Problems Algebra Write in Slope-Intercept Form 3x-5y=15 3x − 5y = 15 3 x - 5 y = 15 The slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept.5y Ex 3. Tap for more steps Step 1. Subtract from both sides of the equation. y intercept happens when x = 0.3/)51 + y5( = x . First, graph the related equation (3x - 5y =15) Since the equation is in standard form, the simplest way to do this is by finding the intercepts. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Solve your math problems using our free math solver with step-by-step solutions. Tentukan Penyelesaian dari persamaan 3x+ 5y = 16 , dan 4x + y = 10 , jika x = a dan y = b . Ex 12. 3x − 5y = 15 3 x - 5 y = 15. Klaim Gold gratis sekarang! A coordinate plane with a line passing through (0, negative 5) and (3, 0). pair of linear equations in two variables; class-10; Share It On Facebook Twitter Email. Set x=0 and solve for y gives you the y-intercept (0,-3). y intercept of Equation 3x + 5y = 15. Solve your math problems using our free math solver with step-by-step solutions. Tap for more steps Step 1. Me ayudan por favor qué es para hoy mismo. 5 y = 4 x + 15 The above lines represents solutions. 0. dividing both sides by 5 we get, The number of solutions, the equation 3x+5y+15=0 can have 1. 3x+5y = -15 A straight line by itself doesn't have a vertex. 5.1. Tap for more steps y = − 3x 5 −3 y = - 3 x 5 - 3 Rewrite in slope-intercept form. From here, you can just plug in values for x and get the corresponding values of x to graph your equation. Langkah Keempat: Maka nilai Jadi HP = { 0 , 5 } Contoh Soal 2. Step 2: Divide both sides of the equation by 5 to solve for y: 0+5y=15 5y=15 5y/5=15/5 y=3 One solution is: (0,3): Let y=0 and solve for x. Tap for more steps y = − 3 5x−3 y = - 3 5 x - 3 Use the slope-intercept form to find the slope and y-intercept. f(0,15) = 5(15) = 75. High School Math Solutions - Inequalities Calculator, Compound Inequalities. Solve the equation for y y. The easiest way to find the x intercept is to figure out what value x will have when y = 0.2. The equation 0 = 0 is true. Tap for more steps Step 2. Find the Slope 3x+5y=3.2. 2x - 3y = -9. Using the slope-intercept form, the slope is −3 5 - 3 5. Rewrite in slope-intercept form.200/2. In the question, a function z = 5 x + 3 y is given, and the constraints 3 x + 5 y ≤ 15, 5 x + 2 y ≤ 10, and x, y ≥ 0 is also given. Solve your math problems using our free math solver with step-by-step solutions. The slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. Slope: 3 5 3 5 y-intercept: (0,−3) ( 0, - 3) x y 0 −3 5 0 x y 0 - 3 5 0 Linear Equation 3x+5y = 15 Similar Problems from Web Search 3x + 5y = 15 3x+5y=15 Geometric figure: Straight Line Slope = -1. x intercept happens when y = 0. Explanation: To find the y-intercept of the equation, we need to set x = 0 and solve for y. see explanation. Open in App. 4x = 28. More Steps Hide Steps. In this formula : Free calculus calculator - calculate limits, integrals, derivatives and series step-by-step. Ask AI. Solve linear inequalities, step-by-step. Step 1. This gives us: -3x = 15, so x = -15/3, which equates to x = -5. loading. Subtract from both sides of the equation. Step 2. subtracting 3X from both sides, 3X + 5Y - 3X = 15 - 3X. Clearly (0,0) satisfies the in equation 3x + 5y ≤ 15. {To test if the graph of }3x-5y=15\text{ is symmetry with respect to the origin,substitute -x for x and -y for y} 3\left(-x\right)-5\left(-y\right)=15. Plot the two points on the coordinate plane, then draw a broken Algebra. bell outlined.08x+0. y intercept of Equation 3x + 5y = 15. Simultaneous equation. In case there is a unique solution, find it by using cross multiplication method (iv) x – 3y – 7 = 0 3x – 3y – … Click here 👆 to get an answer to your question ️ five solutions for the linear equation 3x + 5y = 15. Starting at $5. What is the equation of the graphed line written in standard form? 3x + y = -5 x + 3y = -5 3x - 5y = -15 5x - 3y = 15 Solve the linear programming problem by graphical method with the following restrictions. Jika Y nya sama dengan nol berarti x-nya berarti 15 / 5 berarti 3 jadi Isinya 0 y nya 5 dan ini 3.There is no domain for us to work with. Tap for more steps y = − 21 5 y = - 21 5. The given equation is -3x + 5y = -15.600 x-intercept = 15/3 = 5 y-intercept = 15/5 = 3 Rearrange: Rearrange the equation by subtracting what is to the … Popular Problems Algebra Write in Slope-Intercept Form 3x-5y=15 3x − 5y = 15 3 x - 5 y = 15 The slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is … Algebra Find the x and y Intercepts 3x-5y=-15 3x − 5y = −15 3 x - 5 y = - 15 Find the x-intercepts. 0. Matrix.000 = 0. en. Each new topic we learn has symbols and problems we have never seen. Get step-by-step answers and hints for your math homework problems.. 3x = 15 ( divide both sides by 3 ) Step-by-step explanation: x intercept of Equation 3x + 5y = 15.5y Solve for y 3x-5y=15. Subtract 3x 3 x from both sides of the equation. Related Symbolab blog posts.1. 3 x + 5 y ≤ 5; 5 x + 2 y ≤ 10; x ≥ 0, y ≥ 0 and maximize Z = 5 x + 3 y. 1. In order to find the graph of linear equations in two variables, first, we need to obtain the linear equation in the form ax + by + c = 0. Minimise z = 3x + 5y Subject to constraints x≥4, 2y ≥ 12, 3x + 2y ≥ 18, x, y ≥ 0.3. The system is now solved. algebra. absolute and radical equations, step-by-step. From the graph it is pretty clear that the three regions are disjoint. Subtract 3x on both sides.10y=0. Subtract from both sides of the equation.2. Represent 3x+5y=15 on a graph. you have to know how to solve for required variables.1. f(0,20) = 5(20) = 100. 3x=15 or x = 5. you substitue "0" in for your y and solve: 2 (0) + 4x = 28. The equation 3x + 5y = 15, when solved for y, gives the solution. Two points on the graph is (-5,0) and (0,-3) Graph is option A y = − 5 3x+5 y = - 5 3 x + 5. To graph an equation, Click on 'Graph', type in the equation '3x + 5y = 15' and click on 'Solve': Click here to see the graph . Therefore, the slope of this line (m) is -3/5. Log in to add comment.000 = 1.2k points) coordinate geometry +1 vote. Step 1. Examples. Rearrange the given equation that is 5y = -15+3x. Arithmetic. Enter a problem Cooking Calculators. where m is the slope and b the y-intercept. Find the Slope of a Parallel Line 3x+5y=15. Select two x x values, and plug them into the equation to find the corresponding y y values. Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Linear equation. Now, dividing our current equation by 5, we get y = (15-3x)/5 = 3- (3/5)x. Use the slope-intercept form to find the slope and y-intercept. Step 3. Tap for more steps y = − 3 5x+3 y = - 3 5 x + 3 Use the … 6x-5y-15=0 Geometric figure: Straight Line Slope = 2.
El método de sustitución consiste en despejar un término o variable de una de las ecuaciones, y sustituir en la otra. Such an equation is usually written y=mx+b ("y=mx+c" in the UK). "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis. A straight line by itself doesn't have a vertex. Removing 0 doesn't change the value,so remove it from the expression.000 = -0. x. 2 + 5 . Math can be an intimidating subject. 4x+5y=−4. y-intercept: (0,5) ( 0, 5) Any line can be graphed using two points. 3(−2)− 5y = 15 3 ( - 2) - 5 y = 15. y intercept happens when x = 0. Divide both sides by 3. 0 = 0. y-intercept: (0,5) ( 0, 5) Any line can be graphed using two points. The y-intercept is (0, 3) . Dari Persamaan Kedua : 3x + 6y = 30 3x + 6 ( 5 ) = 30 3x + 30 = 30 3x = 0 x = 0. Adding 15 to both sides, we get: -5y To find the x- and y-intercepts of a linear equation like −3x + 5y = 15, we set each variable to zero in turn and solve the resulting equation. Tap for more steps Slope: − 3 5 - 3 5 y-intercept: (0,−3) ( 0, - 3) Select two x x values, and plug them into the equation to find the corresponding y y values. He completes the steps to find the solution of the equation below. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.. Tap for more steps y = 3 5x− 3 y = 3 5 x - 3. 5x+2y=8 -4(1. Step-by-step explanation: To find the y- intercept, let x = 0 in the equation and solve for y. Graph 3x+y=15.600 x-intercept = 15/3 = 5 y-intercept = -15/5 = -3 Rearrange: Rearrange the equation by subtracting what is to the The graph of the linear equation 3x - 2y = 6 cuts the y-axis at the point (0,3).