Slope (Multiple Representations)
Flashcard
•
Mathematics
•
8th Grade
•
Hard
Standards-aligned
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14 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of slope?
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 is slope calculated using two points (x1, y1) and (x2, y2)?
Back
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?
Back
A positive slope indicates that as the x-value increases, the y-value also increases, 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-value increases, the y-value decreases, meaning the line falls from left to right.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What does a slope of zero mean?
Back
A slope of zero means that the line is horizontal, indicating no change in the y-value as the x-value changes.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What does an undefined slope mean?
Back
An undefined slope occurs in vertical lines where the x-value does not change, leading to division by zero in the slope formula.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
If a line passes through the points (2, 3) and (4, 7), what is the slope?
Back
Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.
Tags
CCSS.8.EE.B.5
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