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

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

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 $- 6 (x - 2)$ .

Apply the distributive property.

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

Multiply $- 6$ by $- 2$ .

$y - 3 = - 6 x + 12$

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

Add $3$ to both sides of the equation.

$y = - 6 x + 12 + 3$

Add $12$ and $3$ .

$y = - 6 x + 15$