Find the Slope y-3=-4(x-5)

$y - 3 = - 4 (x - 5)$

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 $- 4 (x - 5)$ .

Apply the distributive property.

$y - 3 = - 4 x - 4 \cdot - 5$

Multiply $- 4$ by $- 5$ .

$y - 3 = - 4 x + 20$

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

Add $3$ to both sides of the equation.

$y = - 4 x + 20 + 3$

Add $20$ and $3$ .

$y = - 4 x + 23$

Step 2

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

$m = - 4$

Step 3