What is a linear function?
Linear Functions

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear function is a function that graphs to a straight line, which 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 is a nonlinear function?
Back
A nonlinear function is a function that does not graph to a straight line, meaning the rate of change between x and y is not constant.
3.
FLASHCARD QUESTION
Front
How can you identify a linear function from a table of values?
Back
A linear function will have a constant rate of change between the x-coordinates and y-coordinates.
4.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope represents the rate of change of y with respect to x, calculated as 'rise over run'.
5.
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 as (0, b) in the equation y = mx + b.
6.
FLASHCARD QUESTION
Front
How do you find 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).
7.
FLASHCARD QUESTION
Front
What is the equation of a line in slope-intercept form?
Back
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
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