Write in y=mx+b Form y-3=3(x-5)

$y - 3 = 3 (x - 5)$

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 $3 (x - 5)$ .

Apply the distributive property.

$y - 3 = 3 x + 3 \cdot - 5$

Multiply $3$ by $- 5$ .

$y - 3 = 3 x - 15$

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

Add $3$ to both sides of the equation.

$y = 3 x - 15 + 3$

Add $- 15$ and $3$ .

$y = 3 x - 12$