Graphing Linear Functions
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in the context of linear functions?
Back
Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.
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).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What does a positive slope indicate about a linear function?
Back
A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward trend.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a linear function?
Back
A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward trend.
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, as there is no vertical change regardless of the horizontal 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 the horizontal change is 0, leading to division by zero.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
Given the points (2, 4) and (6, 12), what is the slope of the line passing through these points?
Back
The slope is 2, calculated as (12 - 4) / (6 - 2).
Tags
CCSS.8.EE.B.5
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