Introduction to slope
Flashcard
•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of slope?
Back
The slope of a line is a measure of its steepness, usually represented 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 you move from left to right along the line, the line rises.
4.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that as you move from left to right along the line, the line falls.
5.
FLASHCARD QUESTION
Front
What does a slope of zero mean?
Back
A slope of zero means the line is horizontal and there is no vertical change as you move along the line.
6.
FLASHCARD QUESTION
Front
What does an undefined slope mean?
Back
An undefined slope occurs with vertical lines, where the change in x is zero, leading to division by zero in the slope formula.
7.
FLASHCARD QUESTION
Front
If a line has a slope of 1, what does this imply?
Back
A slope of 1 implies that for every unit increase in x, there is a corresponding unit increase in y, resulting in a 45-degree angle with the x-axis.
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