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

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

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 $2 (x - 3)$ .

Apply the distributive property.

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

Multiply $2$ by $- 3$ .

$y - 6 = 2 x - 6$

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

Add $6$ to both sides of the equation.

$y = 2 x - 6 + 6$

Combine the opposite terms in $2 x - 6 + 6$ .

Add $- 6$ and $6$ .

$y = 2 x + 0$

Add $2 x$ and $0$ .

$y = 2 x$