# How do you find the slope and intercept of 5x+4y=10?

Mar 28, 2017

See below

#### Explanation:

Solve for y:

$4 y = 10 - 5 x$

$y = \frac{10}{4} - \left(\frac{5}{4}\right) x$

Slope is the number in front of x which is $- \frac{5}{4}$. The intercept is the other number which is $\frac{10}{4}$ which can also be written as $\frac{5}{2}$