Write in y=mx+b Form y+3=-2(x-8)

$y + 3 = - 2 (x - 8)$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Simplify the right side.

Simplify $- 2 (x - 8)$ .

Apply the distributive property.

$y + 3 = - 2 x - 2 \cdot - 8$

Multiply $- 2$ by $- 8$ .

$y + 3 = - 2 x + 16$

Move all terms not containing $y$ to the right side of the equation.

Subtract $3$ from both sides of the equation.

$y = - 2 x + 16 - 3$

Subtract $3$ from $16$ .

$y = - 2 x + 13$