# How do you find the slope and y-intercept for the line x - 4y = 40?

Sep 23, 2015

The slope is $\frac{1}{4}$, and the y-intercept is $- 10$.

#### Explanation:

Solve the equation for $y$.

$x - 4 y = 40$

Subtract $x$ from both sides of the equation.

$- 4 y = 40 - x$

Divide both sides by $- 4$.

$y = \frac{40}{- 4} - \frac{x}{- 4} =$

$y = - 10 + \frac{x}{4}$

$\frac{x}{4} = \frac{1}{4} x$.

Rewrite the equation.

$y = \frac{1}{4} x - 10$

The slope is $\frac{1}{4}$, and the y-intercept is $- 10$.

graph{y=1/4x-10 [-11.34, 8.66, -13.79, -3.79]}