Comparing Linear Functions

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+5
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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 of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
How do you determine which linear function has a greater slope?
Back
To determine which linear function has a greater slope, compare the coefficients of x in their equations. The function with the larger coefficient has the greater slope.
Tags
CCSS.8.F.A.2
CCSS.HSF.IF.C.9
4.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear function?
Back
The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is 0.
5.
FLASHCARD QUESTION
Front
If a linear function has a slope of 0, what does that mean?
Back
A linear function with a slope of 0 is a horizontal line, meaning there is no change in y as x changes.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What is the formula for calculating 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
7.
FLASHCARD QUESTION
Front
How can you tell if a linear function is increasing or decreasing?
Back
A linear function is increasing if its slope is positive and decreasing if its slope is negative.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
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