# What is the equation in point-slope form and slope intercept form for the line given (-2,-4) (-5,3)?

May 3, 2015

Note that a non-vertical line has infinitely many point-slope form equations.

To find the slope, see Leivin's answer.

This line has slope $- \frac{7}{3}$ and, like every line, contains infinitely many points.

Among those points are the two we were goven, leading us to equations:

$y - 3 = \left(- \frac{7}{3}\right) \left(x + 5\right)$

$y + 2 = \left(- \frac{7}{3}\right) \left(x + 4\right)$

Either equation is in point slope form and the equations both refer to (describe, define) the same line.