Linear Relationships
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+6
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a proportional relationship?
Back
A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. For example, if one quantity increases, the other quantity increases at a consistent rate.
Tags
CCSS.7.RP.A.2A
2.
FLASHCARD QUESTION
Front
How can you identify a proportional relationship from a word problem?
Back
Look for constant ratios or relationships where one quantity is a constant multiple of another. For example, if a hotel charges a flat rate plus a variable cost that is a constant amount per unit, it is not proportional.
Tags
CCSS.7.RP.A.2D
3.
FLASHCARD QUESTION
Front
What is the slope of a line in the equation y = mx + b?
Back
The slope (m) represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
How do you find the y-intercept in the equation of a line?
Back
The y-intercept is the value of y when x is 0. In the equation y = mx + b, the y-intercept is represented by b.
5.
FLASHCARD QUESTION
Front
What does the equation y = 1/3x - 2 represent?
Back
This equation represents a linear relationship where the slope is 1/3 and the y-intercept is -2.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
How do you write the equation of a line given a slope and a point?
Back
Use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.
7.
FLASHCARD QUESTION
Front
What is the significance of the slope in a real-world context?
Back
The slope indicates the rate of change between two variables. For example, in a cost scenario, it shows how much the total cost increases for each additional unit purchased.
Tags
CCSS.8.EE.B.5
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