Comparing Linear Functions

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•
Mathematics
•
7th - 9th Grade
•
Hard
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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 and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.
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.
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).
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, 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 positive slope?
Back
A positive slope indicates that as x increases, y also increases, showing a direct relationship.
7.
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.
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