Question 11799
You can do this problem with algebra.  The key is remembering that parallel lines have identical slopes and perpendicular lines have slopes that are the negative reciprocal of each other.

First, find the slope of the line passing through the given points (-1, -1) and (3, 2).  You know the formula.

{{{m = (y2-y1)/(x2-x1)}}}
{{{m = (2-(-1))/(3-(-1))}}}
{{{m = 3/4}}} 

The slope of the line passing through the given points is m = 3/4
The slope of a parallel line is also m = 3/4
The slope of a perpendicular line is -4/3