parallel and perpendicular lines……. slopes…… parallel lines: the slopes are equal for...
TRANSCRIPT
Slopes……
• Parallel Lines:
The slopes are EQUAL for parallel lines.
• Perpendicular Lines:
The slopes are opposite reciprocals for perpendicular lines.
mmll m
m1
You Try.......
• If
find the parallel and perpendicular slopes.
• Parallel:
• Perpendicular:
2
1m
2
1m
2
1llm
2m
Example……
• A. What is the slope of ?
• B. What is the parallel slope?
• C. What is the perpendicular slope?
• A.
• B.
• C.
14
3 xy 4
3m
4
3llm
3
4m
Are the following lines parallel, perpendicular, or neither?..........
• Answer:
• They have the same slope so they are parallel.
63
53
xy
xy
Parallel, Perpendicular, or Neither?
• The slopes are not the same so they are NOT parallel.
• The slopes are not opposite reciprocals so they are NOT perpendicular.
• They are neither.
62
72
xy
xy
Parallel, Perpendicular, or Neither?......
• You must first change both into slope-intercept form.
• Now, you can compare their slopes.
1896
632
yx
yx
• They are not the same so they are NOT parallel.
• They are not opposite reciprocals so they are NOT perpendicular.
• They are neither.
3
2
3
2
2
1
Line
Line
m
m
Parallel, Perpendicular, or Neither?.....
• Change to slope-intercept form first.
• Compare their slopes.
18129
1234
yx
yx