What is the slope of a line?
Identifying and Interpreting Slope and y-intercept

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•
Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).
2.
FLASHCARD QUESTION
Front
How do you find the slope from two points (x1, y1) and (x2, y2)?
Back
Slope (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 y-intercept of a line?
Back
The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.
6.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a real-world context?
Back
In a real-world context, the y-intercept often represents the initial value or starting point of a situation.
7.
FLASHCARD QUESTION
Front
If a line has a slope of 4/1, what does this mean?
Back
This means that for every 1 unit increase in x, the y-value increases by 4 units.
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