11/19 Linear Functions

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Mathematics
•
7th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the general form of a linear function?
Back
The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you determine if a relation is a function?
Back
A relation is a function if each input (x-value) has exactly one output (y-value).
3.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).
4.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear function?
Back
The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.
5.
FLASHCARD QUESTION
Front
How can you identify a function from a mapping diagram?
Back
In a mapping diagram, a function is identified if each input (x-value) is connected to only one output (y-value).
6.
FLASHCARD QUESTION
Front
What is the significance of a negative slope in a linear function?
Back
A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.
7.
FLASHCARD QUESTION
Front
What is the formula to 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).
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