What is the definition of slope in a graph?
Slope from a Graph, Two Points and a Table

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Mathematics
•
6th - 8th 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 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 from 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 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 does a slope of zero mean?
Back
A slope of zero means the line is horizontal, indicating that there is no change in the y-value as the x-value changes.
6.
FLASHCARD QUESTION
Front
What does an undefined slope mean?
Back
An undefined slope occurs with a vertical line, where the x-value does not change, leading to division by zero in the slope formula.
7.
FLASHCARD QUESTION
Front
If a line passes through the points (2, 4) and (6, 12), what is the slope?
Back
The slope is calculated as m = (12 - 4) / (6 - 2) = 8 / 4 = 2.
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