Slope From A Table
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
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
How do you calculate the slope from a table of values?
Back
To calculate the slope from a table, identify two points (x1, y1) and (x2, y2) from the table, and use the formula: slope (m) = (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What does a slope of 0 indicate about a line?
Back
A slope of 0 indicates that the line is horizontal, meaning there is no vertical change as the horizontal change occurs.
4.
FLASHCARD QUESTION
Front
What does a positive slope indicate about the relationship between two variables?
Back
A positive slope indicates that as one variable increases, the other variable also increases, showing a direct relationship.
5.
FLASHCARD QUESTION
Front
What does a negative slope indicate about the relationship between two variables?
Back
A negative slope indicates that as one variable increases, the other variable decreases, showing an inverse relationship.
6.
FLASHCARD QUESTION
Front
What is the slope of a vertical line?
Back
The slope of a vertical line is undefined because the horizontal change (run) is zero, leading to division by zero in the slope formula.
7.
FLASHCARD QUESTION
Front
If the slope between two points is 5, what does this mean in practical terms?
Back
A slope of 5 means that for every 1 unit increase in the x-direction, the y-value increases by 5 units.
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