Linear Functions
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
+5
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope represents the rate of change of the function. It indicates how much y changes for a unit change in x.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept is the point where the line crosses the y-axis. It is represented as (0, b) in the equation y = mx + b.
4.
FLASHCARD QUESTION
Front
How do you find the slope from two points?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What is the formula for the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
What does a positive slope indicate about a linear function?
Back
A positive slope indicates that as x increases, y also increases, showing a direct relationship.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a linear function?
Back
A negative slope indicates that as x increases, y decreases, showing an inverse relationship.
Tags
CCSS.8.EE.B.5
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