Find the Slope y+2=-2(x-3)

$y + 2 = - 2 (x - 3)$

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 $- 2 (x - 3)$ .

Apply the distributive property.

$y + 2 = - 2 x - 2 \cdot - 3$

Multiply $- 2$ by $- 3$ .

$y + 2 = - 2 x + 6$

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

Subtract $2$ from both sides of the equation.

$y = - 2 x + 6 - 2$

Subtract $2$ from $6$ .

$y = - 2 x + 4$

Step 2

Using the slope-intercept form, the slope is $- 2$ .

$m = - 2$

Step 3