Linear Functions

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•
Mathematics
•
9th Grade
•
Hard
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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 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.
2.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, typically represented by the letter m in the equation of a line. It is calculated as the change in y divided by the change in x (rise/run).
3.
FLASHCARD QUESTION
Front
How do you determine if a graph is linear?
Back
A graph is linear if it forms a straight line. This can be determined by checking if the relationship between the x and y coordinates is consistent and can be expressed in the form y = mx + b.
4.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
5.
FLASHCARD QUESTION
Front
What does it mean for two lines to be perpendicular?
Back
Two lines are perpendicular if the product of their slopes is -1. This means that if one line has a slope of m, the other line must have a slope of -1/m.
6.
FLASHCARD QUESTION
Front
How do you find the domain of a function?
Back
The domain of a function is the set of all possible input values (x-values) for which the function is defined. For linear functions, the domain is usually all real numbers.
7.
FLASHCARD QUESTION
Front
How do you find the range of a function?
Back
The range of a function is the set of all possible output values (y-values) that the function can produce. For linear functions, the range is usually all real numbers.
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