# How do you find the slope and intercept of 4(x-5y)=9(x+1)?

May 9, 2018

Simplifying,

$y = - \frac{1}{4} x + - \frac{9}{20}$

We read off a slope of $- \frac{1}{4}$ and a y intercept of $- \frac{9}{20.}$

#### Explanation:

$4 \left(x - 5 y\right) = 9 \left(x + 1\right)$

$4 x - 20 y = 9 x + 9$

$- 20 y = 5 x + 9$

$y = - \frac{5}{20} x + - \frac{9}{20}$

$y = - \frac{1}{4} x + - \frac{9}{20}$

We read off a slope of $- \frac{1}{4}$ and a y intercept of $- \frac{9}{20.}$