# Question #ceff9

Oct 17, 2016

$y = - 2 x + 5$

#### Explanation:

The slope-intercept form of a line gives us the equation of a line with slope $m$ and $y$-intercept $b$ as

$y = m x + b$

(Notice that this makes sense, as an increase of $1$ by $x$ results in an increase of $m$ by $y$, making the slope=$\text{rise"/"run}$ formula result in $\frac{m}{1}$, and setting $x = 0$ gives $y = b$ as the $y$-intercept)

Plugging in $m = - 2$ and $b = 5$, we get the equation as

$y = - 2 x + 5$