Finding Slope from Tables and Graphs
Flashcard
•
Mathematics
•
8th 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 mathematics?
Back
Slope is a measure of the steepness or incline of a line, typically represented 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 between two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be 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?
Back
A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.
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 in the slope formula.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
How can you determine the slope from a graph?
Back
To determine the slope from a graph, select two points on the line, find the rise (vertical change) and run (horizontal change) between them, and use the slope formula: m = rise/run.
Tags
CCSS.8.EE.B.5
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