Write in Slope-Intercept Form y+4=-4/3x

$y + 4 = - \frac{4}{3} x$

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

Rewrite in slope-intercept form.

Simplify the right side.

Simplify $- \frac{4}{3} x$ .

Combine $x$ and $\frac{4}{3}$ .

$y + 4 = - \frac{x \cdot 4}{3}$

Move $4$ to the left of $x$ .

$y + 4 = - \frac{4 x}{3}$

Subtract $4$ from both sides of the equation.

$y = - \frac{4 x}{3} - 4$

Write in $y = m x + b$ form.

Reorder terms.

$y = - (\frac{4}{3} x) - 4$

Remove parentheses.

$y = - \frac{4}{3} x - 4$