# How do you graph -2x+5y=15?

Jun 18, 2017

That is a line; plot any two points on it.

#### Explanation:

(x, y) lies on the line $- 2 x + 5 y = 15$
if and only if the values of x and y solve the equation. That is, they make it true.

If you are using paper (and not a computer), two of the easiest points to find are the intercepts.

A graph has an x-intercept when y = 0.
When y = 0 in this case,
$- 2 x + 5 \left(0\right) = 15$
$- 2 x = 15$
$x = - \frac{15}{2} = - 7.5$

This means that $\left(- 7.5 , 0\right)$ is on the line. Mark it on the map.

I'll leave the rest to you. Find the y-intercept by determining the point where x = 0.