Write in Slope-Intercept Form y-2=3(x-3)

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

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.

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

Multiply $3$ by $- 3$ .

$y - 2 = 3 x - 9$

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

Add $2$ to both sides of the equation.

$y = 3 x - 9 + 2$

Add $- 9$ and $2$ .

$y = 3 x - 7$