# Question #b97a7

##### 1 Answer
Nov 14, 2017

$y = - \frac{1}{4} x + 2$ and $y + 3 = 7 \left(x + 1\right)$

#### Explanation:

Slope intercept form is $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept. Since $m = - \frac{1}{4}$ and $b = 2$, plug those in to get $y = - \frac{1}{4} x + 2$.

The general equation for point-slope form is $\left(y - k\right) = m \left(x - h\right)$, where $m$ is slope and $\left(h , k\right)$ is some point on the line.
We'll use $\left(- 1 , - 3\right)$ as $\left(h , k\right)$ for this line. For the $\left(y - k\right)$ part, we have $y - \left(- 3\right)$, or $y + 3$.
Likewise, $\left(x - h\right) = \left(x - \left(- 1\right)\right) , \mathmr{and} x + 1$.

Plugging in this information gives us $y + 3 = 7 \left(x + 1\right)$.

You know, the really beautiful thing about algebra is that it allows us to measure the unknown! Have fun!