Write in Slope-Intercept Form y=3(x-4)+6x

$y = 3 (x - 4) + 6 x$

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

Simplify the right side.

Simplify $3 (x - 4) + 6 x$ .

Simplify each term.

Apply the distributive property.

$y = 3 x + 3 \cdot - 4 + 6 x$

Multiply $3$ by $- 4$ .

$y = 3 x - 12 + 6 x$

Add $3 x$ and $6 x$ .

$y = 9 x - 12$