Linear Functions

Flashcard
•
Mathematics
•
8th - 9th Grade
•
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 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.
2.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.
3.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a linear equation?
Back
To find the y-intercept of a linear equation in the form y = mx + b, set x to 0 and solve for y. The y-intercept is the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
What is the y-intercept in the equation y = -4x - 5?
Back
The y-intercept is -5.
5.
FLASHCARD QUESTION
Front
What is the difference between linear and nonlinear functions?
Back
Linear functions graph to straight lines, while nonlinear functions graph to curves or other shapes. Linear functions have a constant rate of change, whereas nonlinear functions do not.
6.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y = 3/2x + 3?
Back
The slope of the line is 3/2.
7.
FLASHCARD QUESTION
Front
What is the y-intercept of the equation y = 3/2x + 3?
Back
The y-intercept is (0, 3).
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