How do you graph using the intercepts for 5x-y=3?

1 Answer
sente
Nov 8, 2015

Set y=0 and then x=0 to find the x and y intercepts, respectively, and then draw a line through the two points.

Explanation:

The x-intercept of a graph is where it intersects the x-axis, that is, where y=0.
Setting y=0 in this equation gives us

5x - 0 = 3 => x = 3/5

Thus the equation has the x-intercept (3/5, 0)

The y-intercept of a graph is where it intersects the y-axis, that is, where x = 0.
Setting x = 0 in this equation gives us

5(0) - y = 3 => y = -3

Thus the equation has the y-intercept (0, -3)

As the equation is linear, only two points are needed in order to graph it. So, plot the intercepts found, and draw a line through them to create the graph:

graph{y = 5x-3 [-8.22, 8.24, -5.11, 3.12]}

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