Review: 3C-Graph & Identify Key Features of Linear Functions

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the slope of a linear function?
Back
The slope of a linear function is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).
2.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a linear function from its graph?
Back
The y-intercept is the point where the graph crosses the y-axis, which occurs when x = 0.
3.
FLASHCARD QUESTION
Front
What is the formula for the slope between two points (x1, y1) and (x2, y2)?
Back
The formula for the slope (m) is given by: m = (y2 - y1) / (x2 - x1).
4.
FLASHCARD QUESTION
Front
If a linear function has a slope of -3, what does this indicate about the graph?
Back
A slope of -3 indicates that for every 1 unit increase in x, the value of y decreases by 3 units, resulting in a downward slant.
5.
FLASHCARD QUESTION
Front
What is the zero of a linear function?
Back
The zero of a linear function is the x-value where the function's output (y) is zero, also known as the x-intercept.
6.
FLASHCARD QUESTION
Front
How can you determine the y-intercept from the equation of a linear function in slope-intercept form (y = mx + b)?
Back
In the equation y = mx + b, the y-intercept is the value of b.
7.
FLASHCARD QUESTION
Front
What does the term 'rate' refer to in the context of a linear function?
Back
In a linear function, the 'rate' typically refers to the slope, which indicates how much y changes for a unit change in x.
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