Parallel and Perpendicular Equations
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of parallel lines in the context of linear equations?
Back
Parallel lines are lines in a plane that do not intersect and have the same slope.
2.
FLASHCARD QUESTION
Front
What is the definition of perpendicular lines in the context of linear equations?
Back
Perpendicular lines are lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals of each other.
3.
FLASHCARD QUESTION
Front
How do you find the slope of a line given its equation in slope-intercept form?
Back
The slope of a line in slope-intercept form (y = mx + b) is the coefficient 'm' of 'x'.
4.
FLASHCARD QUESTION
Front
If a line has a slope of 3, what is the slope of a line that is parallel to it?
Back
The slope of a line that is parallel to it will also be 3.
5.
FLASHCARD QUESTION
Front
If a line has a slope of -2, what is the slope of a line that is perpendicular to it?
Back
The slope of a line that is perpendicular to it will be 1/2 (the negative reciprocal of -2).
6.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y = 5x + 2?
Back
The slope of the line is 5.
7.
FLASHCARD QUESTION
Front
How do you write the equation of a line that is parallel to a given line and passes through a specific point?
Back
Use the same slope as the given line and apply the point-slope form of the equation: y - y1 = m(x - x1).
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