
Rate of change - graphs
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in the context of a graph?
Back
The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.
Tags
CCSS.8.EE.B.5
2.
FLASHCARD QUESTION
Front
How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What does a positive slope indicate about a line on a graph?
Back
A positive slope indicates that as the x-values increase, the y-values also increase, showing a direct relationship.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line on a graph?
Back
A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What is the slope of a horizontal line?
Back
The slope of a horizontal line is 0, indicating no vertical change as the x-values change.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What is the slope of a vertical line?
Back
The slope of a vertical line is undefined, as it would involve division by zero (no horizontal change).
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is the rate of change in a linear function?
Back
The rate of change in a linear function is the same as the slope, representing how much the output (y) changes for a given change in the input (x).
Tags
CCSS.HSF-LE.A.1B
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