What is a linear function?
Comparing 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. 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 linear function represent?
Back
The slope represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.
3.
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).
4.
FLASHCARD QUESTION
Front
What is the y-intercept in 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
What is the rate of change in a real-world context?
Back
The rate of change describes how one quantity changes in relation to another, often expressed as a cost per unit, such as dollars per hour.
6.
FLASHCARD QUESTION
Front
How can you compare the rates of change of two linear functions?
Back
You can compare the slopes of the functions. The function with the greater slope has a higher rate of change.
7.
FLASHCARD QUESTION
Front
What is the equation of a line with a slope of 2 and a y-intercept of -3?
Back
The equation is y = 2x - 3.
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