Linear Functions

Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
+2
Standards-aligned
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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.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
How do you calculate the slope from two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.
5.
FLASHCARD QUESTION
Front
What is the difference between linear and non-linear functions?
Back
Linear functions create straight lines when graphed, while non-linear functions create curves or other shapes.
Tags
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
What does it mean for a graph to be a function?
Back
A graph represents a function if every input (x-value) has exactly one output (y-value). This is often checked using the vertical line test.
7.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test states that if a vertical line intersects a graph at more than one point, then the graph does not represent a function.
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