Find the Slope y-4=-7(x-6)

$y - 4 = - 7 (x - 6)$

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 $- 7 (x - 6)$ .

Apply the distributive property.

$y - 4 = - 7 x - 7 \cdot - 6$

Multiply $- 7$ by $- 6$ .

$y - 4 = - 7 x + 42$

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

Add $4$ to both sides of the equation.

$y = - 7 x + 42 + 4$

Add $42$ and $4$ .

$y = - 7 x + 46$

Step 2

Using the slope-intercept form, the slope is $- 7$ .

$m = - 7$

Step 3