Parallel and Perpendicular Lines Equations Practice
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you determine if two lines are parallel?
Back
Two lines are parallel if they have the same slope but different y-intercepts.
3.
FLASHCARD QUESTION
Front
How do you determine if two lines are perpendicular?
Back
Two lines are perpendicular if the product of their slopes is -1.
4.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y = -\frac{2}{3}x - 7?
Back
The slope of the line is -\frac{2}{3}.
5.
FLASHCARD QUESTION
Front
Convert the equation 4x - 3y = 9 into slope-intercept form.
Back
The slope-intercept form is y = \frac{4}{3}x - 3.
6.
FLASHCARD QUESTION
Front
What is the y-intercept of the line y = \frac{1}{2}x - 11?
Back
The y-intercept is -11.
7.
FLASHCARD QUESTION
Front
Given two points (0, -9) and (5, -8), how do you find the slope of the line through these points?
Back
The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) = (-8 - (-9)) / (5 - 0) = 1/5.
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