Find the Slope y+3=-4(x+7)

$y + 3 = - 4 (x + 7)$

Step 1

Rewrite in slope-intercept form.

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 $- 4 (x + 7)$ .

Apply the distributive property.

$y + 3 = - 4 x - 4 \cdot 7$

Multiply $- 4$ by $7$ .

$y + 3 = - 4 x - 28$

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

Subtract $3$ from both sides of the equation.

$y = - 4 x - 28 - 3$

Subtract $3$ from $- 28$ .

$y = - 4 x - 31$

Step 2

Using the slope-intercept form, the slope is $- 4$ .

$m = - 4$

Step 3