What is the rate of change of a linear function?
Compare Functions (2)

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The rate of change of a linear function is the ratio of the change in the y-values to the change in the x-values, often represented as the slope (m) of the line.
2.
FLASHCARD QUESTION
Front
How do you calculate the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What is the initial value of a function?
Back
The initial value of a function is the value of the function when the independent variable (usually x) is zero, often represented as the y-intercept.
4.
FLASHCARD QUESTION
Front
What does it mean for two functions to have the same rate of change?
Back
Two functions have the same rate of change if their slopes are equal, meaning they increase or decrease at the same rate.
5.
FLASHCARD QUESTION
Front
How can you compare the steepness of two linear functions?
Back
The steepness of a linear function is determined by its slope; a greater absolute value of the slope indicates a steeper line.
6.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.
7.
FLASHCARD QUESTION
Front
What does it mean if a function has a negative slope?
Back
A negative slope indicates that as the x-values increase, the y-values decrease, meaning the function is decreasing.
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