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Equations of Parallel and
Perpendicular Lines
Overview
This 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

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