Linear Functions

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+3
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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.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
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
3.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y = 4x + 1?
Back
The slope of the line is 4.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What is the y-intercept in the equation y = 3x - 5?
Back
The y-intercept is -5, which is the point where the line crosses the y-axis (0, -5).
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
What does it mean for a relation to be a function?
Back
A relation is a function if every input (x-value) has exactly one output (y-value).
Tags
CCSS.8.F.A.1
6.
FLASHCARD QUESTION
Front
Identify whether the following set of points is a function: {(-1, 9), (0, 2), (-1, 3)}.
Back
This set of points is NOT a function because the input -1 corresponds to two different outputs (9 and 3).
Tags
CCSS.8.F.A.1
7.
FLASHCARD QUESTION
Front
What is the general form of a linear equation?
Back
The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.
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