# Question #9551b

Apr 6, 2017

$y = x - 13$

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and b, the y-intercept.

$\text{Rearrange " x-y=13" into this form}$

$\text{add y to both sides}$

$x \cancel{- y} \cancel{+ y} = 13 + y$

$\Rightarrow y + 13 = x \leftarrow \textcolor{red}{\text{ reversing the equation}}$

subtract 13 from both sides.

$y \cancel{+ 13} \cancel{- 13} = x - 13$

$\Rightarrow y = x - 13 \leftarrow \textcolor{red}{\text{ in slope-intercept form}}$