# What is 4x=-2y+26 in slope-intercept form?

Dec 18, 2017

$y = - 2 x + 13$

#### Explanation:

Solve for $y$:

$4 x = - 2 y + 26$

Add $2 y$ to both sides.

$2 y + 4 x = 26$

Subtract $4 x$ from both sides.

$2 y = - 4 x + 26$

Divide both sides by $2$.

$y = \frac{- 4 x}{2} + \frac{26}{2}$

Simplify.

$y = - 2 x + 13$ is in slope-intercept form:

$y = m x + b$,

where:

$m$ is the slope and $b$ is the y-intercept (value of $y$ when $x$ is $0$)

graph{y=-2x+13 [-10, 10, -5, 5]}