# How do you write the point slope form of an equation for the horizontal line that passes through (4,-2)?

Apr 9, 2015

If the line is horizontal then the slope is $0$
in slope-point form, that is $\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$
this would be
$y + 2 = 0 \left(x - 4\right)$
and that's the "correct" answer to the question
but
why would anyone leave it in that form?
$y + 2 = 0$
or
$y = - 2$