How do you graph y=5/2x-2 using intercepts?

1 Answer
David G.
May 20, 2017

We can find that the x-intercept is (4/5, 0) and the y-intercept is (0, -2).

Drawing a straight line through these two points creates a graph of the function.

Explanation:

The x-intercept is the point at which the function meets the x-axis, which is the line y=0.

If we substitute y=0 into the equation, we get:

0=5/2x−2

Rearranging,

5/2x =2

5x = 4

x=4/5

So one point on the line is the point (4/5, 0).

The y-intercept, similarly, is the point at which the function meets the y-axis, which is the line x=0. Substituting x=0 into the equation yields:

y =5/2(0)-2

y=-2

So the y-intercept is the point (0, -2).

Simply drawing a line through these two points will create a graph of the function, using intercepts.

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