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

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

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 $4 (x - 4)$ .

Apply the distributive property.

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

Multiply $4$ by $- 4$ .

$y - 5 = 4 x - 16$

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

Add $5$ to both sides of the equation.

$y = 4 x - 16 + 5$

Add $- 16$ and $5$ .

$y = 4 x - 11$