Write in y=mx+b Form y-6=2(x-5)

$y - 6 = 2 (x - 5)$

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.

$y - 6 = 2 x + 2 \cdot - 5$

Multiply $2$ by $- 5$ .

$y - 6 = 2 x - 10$

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

Add $6$ to both sides of the equation.

$y = 2 x - 10 + 6$

Add $- 10$ and $6$ .

$y = 2 x - 4$