# How do you find the slope and y-intercept of 2x – 5y = –45?

Jul 11, 2015

The slope is $\frac{2}{5}$ and the $y$-intercept is at ($0 , 9$).

#### Explanation:

First, you rearrange the equation into the "slope-intercept" form to get $y$ by itself on the left hand side and all the other terms on the right hand side.

$2 x - 5 y = - 45$

-5y = -2x – 45

$5 y = 2 x + 45$

$y = \frac{2}{5} x + 9$

The "slope-intercept" form of a straight line equation is

$y = m x + b$,

where $m$ is the slope and $b$ is the $y$-intercept.

If we compare the two equations, we see that $m = \frac{2}{5}$ and $b = 9$.

So the slope is $\frac{2}{5}$ and the $y$-intercept is at ($0 , 9$).