What is the definition of slope?
Slope and Rate of Change Practice

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y (rise) over the change in x (run).
2.
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).
3.
FLASHCARD QUESTION
Front
What does an undefined slope indicate about a line?
Back
An undefined slope indicates that the line is vertical, meaning it goes straight up and down and does not have a defined rate of change.
4.
FLASHCARD QUESTION
Front
What does a slope of 0 indicate about a line?
Back
A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.
5.
FLASHCARD QUESTION
Front
If a line passes through the points (2, 4) and (6, 12), what is the slope?
Back
The slope is 2, calculated as (12 - 4) / (6 - 2).
6.
FLASHCARD QUESTION
Front
What is the rate of change in the context of a linear function?
Back
The rate of change refers to how much the output (y) changes for a given change in the input (x), which is represented by the slope of the line.
7.
FLASHCARD QUESTION
Front
What is the slope of a line that rises 3 units for every 4 units it runs?
Back
The slope is 3/4, calculated as rise/run.
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