What is the definition of slope in mathematics?
Slope

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Mathematics
•
9th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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.
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).
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.
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.
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.
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.
7.
FLASHCARD QUESTION
Front
If a line has a slope of -1, what does this imply about the line's direction?
Back
A slope of -1 implies that for every unit increase in x, there is a one unit decrease in y, resulting in a line that descends at a 45-degree angle.
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