Slope from a graph

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in a graph?
Back
Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change 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-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 0, indicating no vertical change as the x-values change.
6.
FLASHCARD QUESTION
Front
What is the slope of a vertical line?
Back
The slope of a vertical line is undefined because the change in x is zero, leading to division by zero.
7.
FLASHCARD QUESTION
Front
How can you identify the slope from a graph visually?
Back
The slope can be identified by selecting two points on the line and calculating the rise over run, or by observing the angle of the line relative to the x-axis.
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