Write in y=mx+b Form y-4=2(x-1)

$y - 4 = 2 (x - 1)$

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 $2 (x - 1)$ .

Apply the distributive property.

$y - 4 = 2 x + 2 \cdot - 1$

Multiply $2$ by $- 1$ .

$y - 4 = 2 x - 2$

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

Add $4$ to both sides of the equation.

$y = 2 x - 2 + 4$

Add $- 2$ and $4$ .

$y = 2 x + 2$