# How do you find the slope and y-intercept of the line -7x - 9y = 27?

Mar 9, 2018

In this case our y-intercept, $b$, is -3 and our slope, $m$, is $- \frac{7}{9}$

#### Explanation:

One method we could use to find both is to rewrite the equation in slope intercept form, $y = m x + b$, where $m$ is the slope, and $b$ is the $y$-intercept.

−7x−9y=27
$- 9 y = 7 x + 27$
$y = - \frac{7}{9} x - 3$

In this case our y-intercept, $b$, is -3 and our slope, $m$, is $- \frac{7}{9}$! :D