# How do you find the slope and y intercept for (y - 3) = 5(x + 2)?

Jun 8, 2015

Answer: The slope is $5$ and the y-intercept is $13$.

Problem: Find slope and y-intercept for the equation $y - 3 = 5 \left(x + 2\right)$.

The given equation is in point-slope form. Convert it to slope-intercept form by solving for $y$: $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept.

Solve the equation for $y$.

Distribute the $5$ on the right side of the equation.

$y - 3 = 5 x + 10$

Add $3$ to both sides of the equation.

$y = 5 x + 13$

The slope is $5$ and the y-intercept is $13$.