Write in y=mx+b Form y-2=-3(x-6)

$y - 2 = - 3 (x - 6)$

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 $- 3 (x - 6)$ .

Apply the distributive property.

$y - 2 = - 3 x - 3 \cdot - 6$

Multiply $- 3$ by $- 6$ .

$y - 2 = - 3 x + 18$

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

Add $2$ to both sides of the equation.

$y = - 3 x + 18 + 2$

Add $18$ and $2$ .

$y = - 3 x + 20$