Slope Basics

Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in mathematics?
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
What does a positive slope indicate about a line?
Back
A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, meaning the line rises from left to right.
3.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.
4.
FLASHCARD QUESTION
Front
What does a slope of zero mean?
Back
A slope of zero means that the line is horizontal, indicating that there is no vertical change as the x-coordinate changes.
5.
FLASHCARD QUESTION
Front
What does an undefined slope mean?
Back
An undefined slope occurs in vertical lines, where the x-coordinate remains constant while the y-coordinate changes, resulting in a division by zero.
6.
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).
7.
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) in the equation of a line y = mx + b.
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