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

May 20, 2017

We can find that the x-intercept is $\left(\frac{4}{5} , 0\right)$ and the y-intercept is $\left(0 , - 2\right)$.

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,

$\frac{5}{2} x = 2$

$5 x = 4$

$x = \frac{4}{5}$

So one point on the line is the point $\left(\frac{4}{5} , 0\right)$.

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:

$y = \frac{5}{2} \left(0\right) - 2$

$y = - 2$

So the y-intercept is the point $\left(0 , - 2\right)$.

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