# What is the equation in point-slope form and slope intercept form for the line given (-2,3) m=0?

May 26, 2015

Point-slope form is:

$y - {y}_{0} = m \left(x - {x}_{0}\right)$

where $m$ is the slope and $\left({x}_{0} , {y}_{0}\right)$ is a point through which the point passes.

So in the example we're considering, we can write the equation as:

$y - 3 = 0 \left(x - \left(- 2\right)\right)$

$y = m x + c$

where $m$ is the slope and $c$ is the intercept.

In this form, the equation of our line is:

$y = 0 x + 3$