What is the slope of a line?

Slope geometry

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).
2.
FLASHCARD QUESTION
Front
What does a positive slope indicate?
Back
A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.
3.
FLASHCARD QUESTION
Front
What does a negative slope indicate?
Back
A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.
4.
FLASHCARD QUESTION
Front
What is the slope of a horizontal line?
Back
The slope of a horizontal line is 0, meaning there is no change in y as x changes.
5.
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 0, leading to division by zero.
6.
FLASHCARD QUESTION
Front
How do you find the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
7.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
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