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

May 24, 2017

The slope intercept form is $y = - 2 x + 8$.

#### Explanation:

The slope intercept form for a linear equation is $y = m x + b$, where $m$ is the slope, and $b$ is the y-intercept. To change the equation to slope intercept form, solve for $y$.

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

Expand.

$y + 2 = - 2 x + 10$

Subtract $2$ from both sides.

$y + \textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} - \textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} = - 2 x + 10 - 2$

Simplify.

$y = - 2 x + 8$ $\Leftarrow$ Slope intercept form
graph{y=-2x+8 [-15.82, 16.2, -5.45, 10.57]}