compare linear functions
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+6
Standards-aligned
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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 the slope from two points on a line?
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
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 by the value of b in the equation y = mx + b.
5.
FLASHCARD QUESTION
Front
If Function A has a slope of 3 and Function B has a slope of 2, which function is steeper?
Back
Function A is steeper because it has a greater slope (3 > 2).
Tags
CCSS.8.F.A.2
CCSS.HSF.IF.C.9
6.
FLASHCARD QUESTION
Front
What does it mean if two linear functions are parallel?
Back
Two linear functions are parallel if they have the same slope but different y-intercepts. This means they will never intersect.
7.
FLASHCARD QUESTION
Front
What does it mean if two linear functions intersect?
Back
If two linear functions intersect, it means they have different slopes and will cross at one point, which represents the solution to the system of equations.
Tags
CCSS.8.EE.C.8B
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