# How do you write x-y=2 into slope intercept form?

Aug 6, 2015

$y = 1 x + \left(- 2\right)$ is in slope intercept form with a slope of $1$ and a y-intercept of $\left(- 2\right)$

#### Explanation:

The slope intercept form is (in general)
$\textcolor{w h i t e}{\text{XXXX}}$$y = m x + b$

$x - y = 2$ can be converted into this form by adding $y - 2$ to both sides giving:
$\textcolor{w h i t e}{\text{XXXX}}$$x - 2 = y$
or
$\textcolor{w h i t e}{\text{XXXX}}$$y = x - 2$

which can be made into explicit slope-intercept form as
$\textcolor{w h i t e}{\text{XXXX}}$$y = 1 x + \left(- 2\right)$