Parallel & Perpendicular Lines
Perpendicular Lines
Example 2
Find the equation of the line perpendicular to x - 5y =15 that passes through the point (-2, 5).
Step 1. Rewrite the equation in slope-intercept form.
![]()
Step 2. Find the slope of the given line.

Step 3. Find the opposite reciprocal of the given slope.
m2 = -5
Step 4. Write an equation for a line with a slope m = -5 that passes through the point (-2, 5) using the point-slope form.

The equation of the perpendicular line is: ![]()