Identifying Slope and Y-Intercept
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•
Mathematics
•
8th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the SLOPE?
Back
The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x). It is often denoted by 'm' in the slope-intercept form of a linear equation.
2.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what does 'b' represent?
Back
The 'b' in the equation y = mx + b represents the y-intercept, which is the point where the line crosses the y-axis.
3.
FLASHCARD QUESTION
Front
What is the y-intercept of the equation y = 3x + 8?
Back
The y-intercept is 8, which means the line crosses the y-axis at the point (0, 8).
4.
FLASHCARD QUESTION
Front
Identify the slope in the equation y = 2x + 6.
Back
The slope is 2, indicating that for every 1 unit increase in x, y increases by 2 units.
5.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that the line is decreasing; as x increases, y decreases.
6.
FLASHCARD QUESTION
Front
If a line has a slope of 0, what does this mean?
Back
A slope of 0 means the line is horizontal, indicating that y does not change as x changes.
7.
FLASHCARD QUESTION
Front
How do you find the slope from two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).
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