# SOLUTION: What are three ways to explain how to graph 5x-8y=40?

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 Algebra: Linear Equations, Graphs, Slope Solvers Lessons Answers archive Quiz In Depth

 Question 519378: What are three ways to explain how to graph 5x-8y=40? Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!``` 5x - 8y = 40 1. Make a table of arbitrary values: x | y 4 | 2 | -2 | -4 | Calculate the other variable values: Fill in the table: x | y 4 | -2.5 2 | -3.75 -2 | -6.25 -4 | -7.5 Plot the points: Draw a line through them: 2. Get the equation in slope-intercept form y = mx+b 5x - 8y = 40 -8y = -5x + 40 y = x - 5 The slope is and the y-intercept is (0,-5) Start at the y-intercept, draw a vertical line upward 5 units (the numerator of the slope), and from there draw a horizontal line rightward 8 units (the denominator of the slope): Draw a line through the y-intercept (0,-5) and the end of the vertical line: 3. Find the two intercepts To find the x-intercept, we substitute 0 for y: 5x - 8y = 40 5x - 8(0) = 40 5x - 0 = 40 5x = 40 x = 8, so the x-intercept is (8,0) To find the y-intercept, we substitute 0 for x: 5x - 8y = 40 5(0) - 8y = 40 0 - 8y = 40 -8y = 40 y = -5, so the y-intercept is (0,-5). Plot the intercepts: Draw a line through those two intercepts: Edwin```