Write in y=mx+b Form y-4=-2(x-6)

$y - 4 = - 2 (x - 6)$

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 $- 2 (x - 6)$ .

Apply the distributive property.

$y - 4 = - 2 x - 2 \cdot - 6$

Multiply $- 2$ by $- 6$ .

$y - 4 = - 2 x + 12$

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

Add $4$ to both sides of the equation.

$y = - 2 x + 12 + 4$

Add $12$ and $4$ .

$y = - 2 x + 16$