What is the definition of slope in mathematics?
Slope from Two Points

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The slope of a line is a measure of its steepness, usually represented as 'm'. It is 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).
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 there is no horizontal change.
4.
FLASHCARD QUESTION
Front
What is the slope of a horizontal line?
Back
The slope of a horizontal line is 0, indicating that there is no vertical change as you move along the line.
5.
FLASHCARD QUESTION
Front
Find the slope of the line that passes through the points (2, 5) and (2, 3).
Back
The slope is undefined because the x-coordinates are the same, indicating a vertical line.
6.
FLASHCARD QUESTION
Front
Find the slope of the line that passes through the points (1, 2) and (4, 8).
Back
The slope is m = (8 - 2) / (4 - 1) = 6 / 3 = 2.
7.
FLASHCARD QUESTION
Front
What is the slope of the line through the points (-14, -5) and (-8, 2)?
Back
The slope is m = (2 - (-5)) / (-8 - (-14)) = 7 / 6.
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