What is the slope of a line?
slope two points

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The slope of a line is a measure of its steepness, usually represented by the letter '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 a positive slope indicate about a line?
Back
A positive slope indicates that as you move from left to right along the line, the line rises. This means that the y-values increase as the x-values increase.
4.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that as you move from left to right along the line, the line falls. This means that the y-values decrease as the x-values increase.
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 (rise) regardless of the horizontal change (run).
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 (run) is 0, leading to division by zero in the slope formula.
7.
FLASHCARD QUESTION
Front
If a line has a slope of 2, what does this mean?
Back
A slope of 2 means that for every 1 unit you move horizontally to the right, the line rises 2 units vertically.
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