Write in y=mx+b Form y-3=2(x-4)

$y - 3 = 2 (x - 4)$

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 $2 (x - 4)$ .

Apply the distributive property.

$y - 3 = 2 x + 2 \cdot - 4$

Multiply $2$ by $- 4$ .

$y - 3 = 2 x - 8$

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

Add $3$ to both sides of the equation.

$y = 2 x - 8 + 3$

Add $- 8$ and $3$ .

$y = 2 x - 5$