Linear Functions
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
+2
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 line represent?
Back
The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
How do you calculate the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
4.
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.
5.
FLASHCARD QUESTION
Front
What does a positive slope indicate about a linear function?
Back
A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a linear function?
Back
A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
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