# What is the y-intercept of the line described by (y - 3) = 5(x + 2)?

May 13, 2018

(0, 13)

#### Explanation:

Point-slope Formula
$y - {y}_{1}$ = $m \left(x - {x}_{1}\right)$

$\left(y - 3\right)$ = $5 \left(x + 2\right)$

Distribute.

$\left(y - 3\right)$ = #(5x + 10)

Add 3 to both sides to negate -3. You should now have:

$y = 5 x + 13$
$y = m x + b$