Positive Slope

Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of a positive slope in a linear function?
Back
A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on a graph.
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 slope of 0 indicate about a line?
Back
A slope of 0 indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.
4.
FLASHCARD QUESTION
Front
What is the significance of a slope greater than 1?
Back
A slope greater than 1 indicates that for every unit increase in x, the y-value increases by more than one unit, resulting in a steep line.
5.
FLASHCARD QUESTION
Front
What is the significance of a slope less than 1 but greater than 0?
Back
A slope less than 1 but greater than 0 indicates that for every unit increase in x, the y-value increases by less than one unit, resulting in a gentle upward slope.
6.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y = 2x + 3?
Back
The slope of the line is 2, indicating a positive slope.
7.
FLASHCARD QUESTION
Front
If a line has a slope of 3/2, what does this mean in terms of rise over run?
Back
A slope of 3/2 means that for every 2 units you move to the right (run), the line rises 3 units (rise).
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