Equations of Parallel and Perpendicular Lines

OverviewThis set of tutorials provides 32 examples of finding the equations of lines parallel or perpendicular to a given line through a given point.

Example 1: Point in Q1 parallel to line with positive slope

Example 2: A point in Q1 perpendicular to a line with positive slope

Example 3: Point in Q1 parallel to line with negative slope

Example 4: Point in Q1 perpendicular to line with negative slope

Example 5: Point in Q2 parallel to line with positive slope

Example 6: Point in Q2 perpendicular to line with positive slope

Example 7: Point in Q2 parallel to line with negative slope

Example 8: Point in Q2 perpendicular to line with negative slope

Example 9: Point in Q3 parallel to line with positive slope

Example 10: Point in Q3 perpendicular to line with positive slope

Example 11: Point in Q3 parallel to line with negative slope

Example 12: Point in Q3 perpendicular to line with negative slope

Example 13: Point in Q4 parallel to line with positive slope

Example 14: Point in Q4 perpendicular to line with positive slope

Example 15: Point in Q4 parallel to line with negative slope

Example 16: Point in Q4 perpendicular to line with negative slope

Example 17: Point on the positive x-axis parallel to line with positive slope

Example 18: Point on the positive x-axis perpendicular to line with positive slope

Example 19: Point on the positive x-axis parallel to line with negative slope

Example 20: Point on the positive x-axis perpendicular to line with negative slope

Example 21: Point on the negative x-axis parallel to line with positive slope

Example 22: Point on the negative x-axis perpendicular to line with positive slope

Example 23: Point on the negative x-axis parallel to line with negative slope

Example 24: Point on the negative x-axis perpendicular to line with negative slope

Example 25: Point on the positive y-axis parallel to line with positive slope

Example 26: Point on the positive y-axis perpendicular to line with positive slope

Example 27: Point on the positive y-axis parallel to line with negative slope

Example 28: Point on the positive y-axis perpendicular to line with negative slope

Example 29: Point on the negative y-axis parallel to line with positive slope

Example 30: Point on the negative y-axis perpendicular to line with positive slope

Example 31: Point on the negative y-axis parallel to line with negative slope

Example 32: Point on the negative y-axis perpendicular to line with negative slope