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

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

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 $4 (x + 2)$ .

Apply the distributive property.

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

Multiply $4$ by $2$ .

$y - 3 = 4 x + 8$

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

Add $3$ to both sides of the equation.

$y = 4 x + 8 + 3$

Add $8$ and $3$ .

$y = 4 x + 11$