What is the definition of slope in a graph?
Slope from a Graph

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Slope is a measure of the steepness or incline of a line, 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 the x-values increase, the y-values also increase, 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-values increase, the y-values decrease, 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 zero, 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 zero, leading to division by zero in the slope formula.
7.
FLASHCARD QUESTION
Front
How can you identify the slope from a graph visually?
Back
You can identify the slope by selecting two points on the line, measuring the vertical rise and horizontal run between them, and calculating the ratio.
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