Write in y=mx+b Form y+4=-2(x-5)

$y + 4 = - 2 (x - 5)$

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 $- 2 (x - 5)$ .

Apply the distributive property.

$y + 4 = - 2 x - 2 \cdot - 5$

Multiply $- 2$ by $- 5$ .

$y + 4 = - 2 x + 10$

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

Subtract $4$ from both sides of the equation.

$y = - 2 x + 10 - 4$

Subtract $4$ from $10$ .

$y = - 2 x + 6$