# How do you find the slope and intercept of (x+1)/2 + (y+1)/2 = 1?

May 18, 2018

Slope: $\left(- 1\right)$
y-intercept: $0$

#### Explanation:

Given $\frac{x + 1}{2} + \frac{y + 1}{2} = 1$

We can multiply everything (on both sides) by $2$ to get an equivalent equation:
$\textcolor{w h i t e}{\text{XXX}} \left(x + 1\right) + \left(y + 1\right) = 2$

Simplifying:
$\textcolor{w h i t e}{\text{XXX}} x + y + 2 = 2$

$\textcolor{w h i t e}{\text{XXX}} y = - x$

or, in slope intercept form:
$\textcolor{w h i t e}{\text{XXX")y=color(green)(} \left(- 1\right)} x + \textcolor{red}{0}$
with slope =color(green)(""(_1)) and y-intercept $\textcolor{red}{0}$