Write in y=mx+b Form y-3=4(x-7)

$y - 3 = 4 (x - 7)$

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 $4 (x - 7)$ .

Apply the distributive property.

$y - 3 = 4 x + 4 \cdot - 7$

Multiply $4$ by $- 7$ .

$y - 3 = 4 x - 28$

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

Add $3$ to both sides of the equation.

$y = 4 x - 28 + 3$

Add $- 28$ and $3$ .

$y = 4 x - 25$