Parallel and Perpendicular Slopes
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the ratio of the rise (change in y) over the run (change in x).
2.
FLASHCARD QUESTION
Front
What does it mean for two lines to be parallel?
Back
Two lines are parallel if they have the same slope and will never intersect.
3.
FLASHCARD QUESTION
Front
What does it mean for two lines to be perpendicular?
Back
Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.
4.
FLASHCARD QUESTION
Front
If the slope of one line is m = 2, what is the slope of a line that is perpendicular to it?
Back
The slope of a line that is perpendicular to m = 2 is m = -1/2, which is the opposite reciprocal.
5.
FLASHCARD QUESTION
Front
What are opposite reciprocals?
Back
Opposite reciprocals are two numbers whose product is -1. For example, if one slope is 3, the opposite reciprocal is -1/3.
6.
FLASHCARD QUESTION
Front
If two lines have slopes m = 1/2 and m = 1/2, what is their relationship?
Back
The two lines are parallel because they have identical slopes.
7.
FLASHCARD QUESTION
Front
What is the slope of a line parallel to m = -3?
Back
The slope of a line parallel to m = -3 is also m = -3.
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