Question

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

Answer 1

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

Explanation:

(x, y) lies on the line `-2x + 5y = 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,
`-2x + 5(0) = 15`
`-2x = 15`
`x = -15/2 = -7.5`

This means that `(-7.5, 0)` 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.