# How do you determine if the two lines are parallel, perpendicular, or neither if line a passes through points (–1, 4) and (2, 6) and line b passes through points (2, –3) and (8, 1)?

##### 1 Answer

Sep 30, 2014

First we need to find the slopes of the lines to make any determinations.

If the **slopes** are **equal** then the lines are **parallel** .

If the **slopes** are **negative reciprocals** then the lines are **perpendicular** .

If the **slopes** are **neither** of the above are true then the lines are **neither** .

The slopes are equal so the lines are parallel.