Linear Functions

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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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.
2.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope (m) of a linear function represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.
3.
FLASHCARD QUESTION
Front
How do you find the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
4.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept (b) is the value of y when x = 0. It is the point where the line crosses the y-axis.
5.
FLASHCARD QUESTION
Front
Write the equation of a line with a slope of 2 that passes through the point (3, 4).
Back
The equation is y - 4 = 2(x - 3), which simplifies to y = 2x - 2.
6.
FLASHCARD QUESTION
Front
What does it mean if the slope of a line is negative?
Back
A negative slope indicates that as the value of x increases, the value of y decreases, showing an inverse relationship between the two variables.
7.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
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