Write in y=mx+b Form y+7=-3(x-3)

$y + 7 = - 3 (x - 3)$

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 $- 3 (x - 3)$ .

Apply the distributive property.

$y + 7 = - 3 x - 3 \cdot - 3$

Multiply $- 3$ by $- 3$ .

$y + 7 = - 3 x + 9$

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

Subtract $7$ from both sides of the equation.

$y = - 3 x + 9 - 7$

Subtract $7$ from $9$ .

$y = - 3 x + 2$