Write in y=mx+b Form y-3=3(x-1)

$y - 3 = 3 (x - 1)$

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 $3 (x - 1)$ .

Apply the distributive property.

$y - 3 = 3 x + 3 \cdot - 1$

Multiply $3$ by $- 1$ .

$y - 3 = 3 x - 3$

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

Add $3$ to both sides of the equation.

$y = 3 x - 3 + 3$

Combine the opposite terms in $3 x - 3 + 3$ .

Add $- 3$ and $3$ .

$y = 3 x + 0$

Add $3 x$ and $0$ .

$y = 3 x$