How do you find the slope of a line that is a) parallel to the line given and b)perpendicular to the line with the given equation #2x-5y = -7#?
If a line is expressed by the equation
Starting with the equation given, first add
Divide both sides by
In other words
Any line parallel to this line will have the same slope:
Any line perpendicular to a line of slope
There are several ways to see this.
For example, consider the following steps:
(1) Reflect the original line in the line
(2) Reflect the line in the
The total effect of (1) followed by (2) is a rotation of
Starting with your original line this will result in a line with equation