# Question #9fd16

Dec 13, 2017

Point-Slope Form: $y - 7 = - 5 \left(x - 2\right)$

Slope-Intercept Form: $y = - 5 x - 3$

#### Explanation:

We can write this in point-slope form:

$y - {y}_{1} = m \left(x - {x}_{1}\right)$, where $\left({x}_{1} , {y}_{1}\right)$ is a point on the line, and $m$ is the slope.

$\setminus \implies y - 7 = - 5 \left(x - \left(- 2\right)\right)$

$\setminus \implies y - 7 = - 5 \left(x + 2\right)$

This can also be converted to slope-intercept form:

$y - 7 = - 5 x - 10$

$\setminus \implies y = - 5 x - 3$