# How do you write the equation y - 4 = -2(x - 5) in slope-intercept form?

May 12, 2016

The equation in slope-intercept form is $y = - 2 x + 14$.

#### Explanation:

The slope-intercept form of a linear equation is $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept. In order to convert the given equation to slope-intercept form, solve for $y$.

$y - 4 = - 2 \left(x - 5\right)$

Add $4$ to both sides of the equation.

$y = - 2 \left(x - 5\right) + 4$

Distribute the $- 2$.

$y = - 2 x + 10 + 4$

Simplify.

$y = - 2 x + 14$

The slope is $- 2$ and the y-intercept is $14$.

graph{y=-2x+14 [-11.04, 8.96, -1.616, 8.38]}