Write in Slope-Intercept Form y=4(x-5)+7x

$y = 4 (x - 5) + 7 x$

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Simplify the right side.

Simplify $4 (x - 5) + 7 x$ .

Simplify each term.

Apply the distributive property.

$y = 4 x + 4 \cdot - 5 + 7 x$

Multiply $4$ by $- 5$ .

$y = 4 x - 20 + 7 x$

Add $4 x$ and $7 x$ .

$y = 11 x - 20$