Slope and Y-Intercept

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in a linear equation?
Back
The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the ratio of the change in the y-coordinate to the change in the x-coordinate 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 the x-coordinate increases, the y-coordinate also increases, 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-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.
5.
FLASHCARD QUESTION
Front
What is the slope of a horizontal line?
Back
The slope of a horizontal line is 0, indicating that there is no change in the y-coordinate as the x-coordinate changes.
6.
FLASHCARD QUESTION
Front
What is the slope of a vertical line?
Back
The slope of a vertical line is undefined, as it would require division by zero (the change in x is 0).
7.
FLASHCARD QUESTION
Front
In the equation of a line y = mx + b, what does 'b' represent?
Back
In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.
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