Linear Relationships Study Guide
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula to calculate the slope of a line?
Back
Slope (m) = (y2 - y1) / (x2 - x1)
2.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope represents the rate of change of y with respect to x, indicating how steep the line is.
3.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a linear equation?
Back
Set x = 0 in the equation and solve for y.
4.
FLASHCARD QUESTION
Front
What is a proportional relationship?
Back
A proportional relationship is one where the ratio of y to x is constant, and the graph passes through the origin.
5.
FLASHCARD QUESTION
Front
If a line has a slope of 2.5, what does this indicate about the line's steepness?
Back
The line rises 2.5 units for every 1 unit it runs horizontally, indicating a steep upward slope.
6.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.
7.
FLASHCARD QUESTION
Front
How can you determine if two triangles on a graph have the same slope?
Back
If the rise over run (change in y over change in x) is the same for both triangles, they have the same slope.
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