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13 Cards in this Set
- Front
- Back
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Theorems About Parallel and Perpendicular Lines
Theorem 3.11 |
If two lines are parallel to the same line, then they are parallel to each other.
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Theorems About Parallel and Perpendicular Lines
Theorem 3.12 |
In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
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POSTULATE 17
Slopes of Parallel Lines |
In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.
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Slope=rise/run
RISE |
^
^ ^ ^ ^ ^ RISE ^ ^ ^ ^ |
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Slope=rise/run
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>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
RUN |
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If two lines have the same slope....
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...then they are parallel
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Slope-Intercept form
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y=mx+b
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Slope-Intercept EXAMPLE
Equation of a line through the point (2,3) that has a slope of 5. |
y=mx+b
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Substitute 2 for x, 3 for y, and 5 for m.
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3=5(2)+b
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Simplify.
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3=10+b
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Subtract
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-7=b
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Writing an Equation of a Parallel Line
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FIND the slope.(slope=rise/run)
SOLVE for b(y=mx+b) WRITE an Equation |
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Written Equation of a Parallel Line
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Because m=-1/3 and b=3, and equation of n2 is y=-1/3x + 3
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