Comparing Linear Functions
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
Hard
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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.
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 y changes for a unit change in x.
3.
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 the value of y when x = 0.
4.
FLASHCARD QUESTION
Front
How do you determine which linear function has a greater y-intercept?
Back
To determine which linear function has a greater y-intercept, compare the constant term (b) in the equation y = mx + b for each function.
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 is the significance of the rate of change in linear functions?
Back
The rate of change indicates how steep the line is. A higher rate of change means the line rises or falls more steeply.
7.
FLASHCARD QUESTION
Front
How can you find 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 the coordinates of the two points.
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