# How do you find the slope of the following line, x+2y= -2?

Apr 1, 2015

I would rearrange the equation to actually "see" the slope, as:
$2 y = - x - 2$
$y = - \frac{x}{2} - \frac{2}{2}$
$y = - \frac{1}{2} x - 1$
The slope is the numerical coefficient in front of your $x$, i.e., $- \frac{1}{2}$

Apr 1, 2015

If you re-write your formula in slope point form:
$y = m x + b$
then the coefficient $m$ is the slope.

In this case
$x + 2 y = - 2$
$\rightarrow 2 y = - x - 2$
$\rightarrow y = \left(- \frac{1}{2}\right) x - 1$
with a slope of
$\left(- \frac{1}{2}\right)$