Unit 3:Linear Functions Test Review

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Mathematics
•
8th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of a linear function?
Back
A linear function is a function that can be graphically represented in the Cartesian plane 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
How do you find the slope of a line given two points?
Back
The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).
3.
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.
4.
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 by the value of b in the equation y = mx + b.
5.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.
6.
FLASHCARD QUESTION
Front
What is the significance of a positive slope?
Back
A positive slope indicates that as the independent variable (x) increases, the dependent variable (y) also increases, showing a direct relationship.
7.
FLASHCARD QUESTION
Front
What is the significance of a negative slope?
Back
A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases, showing an inverse relationship.
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