Linear Functions
Flashcard
•
Mathematics
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•
Practice Problem
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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 can be graphically represented as a straight line. It has 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 the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a linear function?
Back
The y-intercept can be found by setting x = 0 in the equation of the line and solving for y.
4.
FLASHCARD QUESTION
Front
What is the domain of a linear function?
Back
The domain of a linear function is all real numbers, as there are no restrictions on the values that x can take.
5.
FLASHCARD QUESTION
Front
What is the range of a linear function?
Back
The range of a linear function is also all real numbers, as the output (y) can take any value depending on the input (x).
6.
FLASHCARD QUESTION
Front
How do you write the equation of a line given a slope and a point?
Back
Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.
7.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
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