Parallel and Perpendicular Lines

Objectives:Define parallel and perpendicular lines

Find Equations of parallel and perpendicular lines

Parallel Lines have the same slope

Perpendicular Lines have the opposite reciprocal slopes or the product of the slopes equals –1

EX: Find the slope of the linesparallel and perpendicular tothe given lines.

Slopes of Parallel and Perpendicular Lines

21. 9

32. 5 3 7

y x

x y

1. Through and parallel to

2. Through and perpendicular to

Find the Equation of the line

6, 3 3 2 7x y

2, 4 2 7 3 0x y

3. Through and parallel to x-axis

4. Through and parallel to y-axis

Find the Equation of the line

5, 2

5, 2

5. Through the y-int. = 4 and perpendicular to

6. Through and perpendicular to

Find the Equation of the line

2 3 6 0x y

3,4 8x