Linear Functions

Flashcard
•
Mathematics
•
7th - 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 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.
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 y-value with respect to the x-value. It indicates how steep the line is.
3.
FLASHCARD QUESTION
Front
How do you calculate 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 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
If a line has a slope of 4, what does this mean?
Back
A slope of 4 means that for every 1 unit increase in x, the value of y increases by 4 units.
6.
FLASHCARD QUESTION
Front
What is the slope of a line that goes down from left to right?
Back
The slope of a line that goes down from left to right is negative.
7.
FLASHCARD QUESTION
Front
What is the equation of a line with a slope of 1/2 and a y-intercept of 3?
Back
The equation of the line is y = (1/2)x + 3.
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