# How do you find an equation of a line containing the point (-2, 2), with slope 0?

Apr 6, 2016

$y = 2$

#### Explanation:

You can solve this using simple common sense. If there is $0$ slope, then the graph is just a flat, horizontal line at some constant $y$ value, which doesn't change. Given the point $\left(- 2 , 2\right)$ is on that line, we can deduce that the equation is $y = 2$.

You could also use the normal line equation, substituting any values we know and solving from there

$y = m x + c$
$y = 0 x + c$

And, because we know that when $x = - 2$, $y = 2$, we can substitute those values for

$2 = 0 \left(- 2\right) + c$
$2 = c$

Therefore, if

$y = 0 x + 2$

then

$y = 2$,

because $0 x$ doesn't matter - it is always $0$.