# How do you determine if the lines through the given points (4,6), (5,3) are parallel and which, if any, are perpendicular?

##### 1 Answer

Nov 16, 2016

Please see the explanation.

#### Explanation:

In general, a line is parallel to another line, if the two lines have the same slope:

A line will be perpendicular to another line if the slope, n of the perpendicular line has the following relationship to the slope, m:

The slope of a line between the two points is:

If a line is parallel to the line between these two points, its slope will be

If the line is perpendicular, its slope is