Comparing Linear Functions
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
Hard
+5
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that graphs to a straight line, represented by the equation 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, indicating how much y changes for a unit change in x.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
How do you determine the slope from two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
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, represented by the value of b in the equation y = mx + b.
5.
FLASHCARD QUESTION
Front
If two linear functions have the same slope, what can be said about their graphs?
Back
If two linear functions have the same slope, their graphs are parallel and will never intersect.
6.
FLASHCARD QUESTION
Front
What does it mean if a linear function has a negative slope?
Back
A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is the significance of a steeper slope?
Back
A steeper slope indicates a greater rate of change; for example, a slope of 6.5 is steeper than a slope of 1.
Tags
CCSS.8.EE.B.5
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