Question

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

Answer 1

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 `-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= (-7/3)(x+5)`

`y+2=(-7/3)(x+4)`

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