Comparing Linear Functions

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+4
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 can be graphically represented as a straight line. It has 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 of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a unit change in the x-value.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
How do you determine if a relation is a function?
Back
A relation is a function if every input (x-value) has exactly one output (y-value). This can be checked using the vertical line test on its graph.
4.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.A.3
CCSS.8.EE.B.6
5.
FLASHCARD QUESTION
Front
How can you compare the slopes of two linear equations?
Back
To compare the slopes of two linear equations, identify the coefficients of x in their equations. The equation with the larger coefficient has the greater slope.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What does it mean if two linear equations have the same slope?
Back
If two linear equations have the same slope, they are parallel lines and will never intersect, meaning they have no points in common.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear function?
Back
The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is 0.
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