# How do you write x-2y-2=0 into slope intercept form?

Aug 22, 2015

$y = \frac{1}{2} x - 1$

#### Explanation:

The equation of a line in slope-intercept form looks like this

$\textcolor{b l u e}{y = m x + b} \text{ }$, where

$m$ - the slope of the line;
$b$ - the $y$-intercept.

In your case, you have all the terms on one side of the equation. This means that you can write the equation in slope-intercept form by moving the $y$-term to the other side of the equation, the dividing all the terms by $2$.

This will get you

$x - \textcolor{red}{\cancel{\textcolor{b l a c k}{2 y}}} + \textcolor{red}{\cancel{\textcolor{b l a c k}{2 y}}} - 2 = 2 y$

$x - 2 = 2 y$

$\frac{1}{2} x - \frac{2}{2} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} \cdot y}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}}$

The slope-intercept form for your line will be

$\textcolor{g r e e n}{y = \frac{1}{2} x - 1}$