Slope and y=mx+b
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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line (m) is a measure of its steepness, calculated 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 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 is the slope-intercept form of a linear equation?
Back
The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
4.
FLASHCARD QUESTION
Front
What does the 'b' represent in the equation y = mx + b?
Back
The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.
5.
FLASHCARD QUESTION
Front
If a line has a slope of 0, what does that indicate about the line?
Back
A slope of 0 indicates that the line is horizontal.
6.
FLASHCARD QUESTION
Front
If a line has an undefined slope, what does that indicate about the line?
Back
An undefined slope indicates that the line is vertical.
7.
FLASHCARD QUESTION
Front
How do you find the y-intercept from the equation of a line?
Back
To find the y-intercept, set x = 0 in the equation and solve for y.
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