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

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

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 $5 (x - 2)$ .

Apply the distributive property.

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

Multiply $5$ by $- 2$ .

$y - 4 = 5 x - 10$

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

Add $4$ to both sides of the equation.

$y = 5 x - 10 + 4$

Add $- 10$ and $4$ .

$y = 5 x - 6$