# How do you find the slope and intercept of 4y-8x=3?

Jan 16, 2016

The slope is $2$, and the y-intercept is $\frac{3}{4}$.

#### Explanation:

Solve for $y$. This will convert the equation to the slope-intercept form of a linear equation, $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept.

$4 y - 8 x = 3$

Add $8 x$ to both sides.

$4 y = 8 x + 3$

Divide both sides by $4$.

$y = \frac{8 x}{4} + \frac{3}{4}$

Simplify.

$y = 2 x + \frac{3}{4}$

The slope, $m$, is $2$, and the y-intercept, $b$, is $\frac{3}{4}$.

graph{y=2x+3/4 [-10, 10, -5, 5]}