Slopes, parallel, and perpendicular lines
Flashcard
•
Mathematics
•
10th 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, usually represented by the letter 'm'. It is calculated as the change in y (rise) divided by the change in x (run).
2.
FLASHCARD QUESTION
Front
What does a positive slope indicate?
Back
A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.
3.
FLASHCARD QUESTION
Front
What does a negative slope indicate?
Back
A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.
4.
FLASHCARD QUESTION
Front
What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?
Back
The formula is m = (y2 - y1) / (x2 - x1).
5.
FLASHCARD QUESTION
Front
What are parallel lines?
Back
Parallel lines are lines in a plane that never meet and have the same slope.
6.
FLASHCARD QUESTION
Front
What are perpendicular lines?
Back
Perpendicular lines are lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals of each other.
7.
FLASHCARD QUESTION
Front
If the slope of one line is 2, what is the slope of a line perpendicular to it?
Back
The slope of a line perpendicular to it would be -1/2.
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