Regular Class Graph: y = mx + b
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Mathematics
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Practice Problem
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Hard
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1.
FLASHCARD QUESTION
Front
What does the equation of a line in slope-intercept form look like?
Back
The equation of a line in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What is the slope (m) in the equation y = mx + b?
Back
The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.
3.
FLASHCARD QUESTION
Front
What does the y-intercept (b) represent in the equation y = mx + b?
Back
The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x is 0.
4.
FLASHCARD QUESTION
Front
How do you find the slope of a line given two points (x1, y1) and (x2, y2)?
Back
The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).
5.
FLASHCARD QUESTION
Front
What is the significance of a positive slope in a linear graph?
Back
A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.
6.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a linear relationship?
Back
A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.
7.
FLASHCARD QUESTION
Front
What does a slope of zero mean in a linear equation?
Back
A slope of zero means the line is horizontal, indicating that y remains constant regardless of the value of x.
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