What is the slope-intercept form of a linear equation?
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Mathematics
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9th - 10th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you find the slope of a line given 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 the slope of a line represent?
Back
The slope represents the rate of change of y with respect to x; it indicates how steep the line is.
4.
FLASHCARD QUESTION
Front
What is the y-intercept in the slope-intercept form?
Back
The y-intercept (b) is the point where the line crosses the y-axis, represented by the value of y when x = 0.
5.
FLASHCARD QUESTION
Front
Convert the equation 3x + 7y = -14 to slope-intercept form.
Back
y = -\frac{3}{7}x - 2.
6.
FLASHCARD QUESTION
Front
Convert the equation 3x - 2y = -12 to slope-intercept form.
Back
y = \frac{3}{2}x + 6.
7.
FLASHCARD QUESTION
Front
Write the slope-intercept equation for a line with slope \frac{4}{3} passing through the point (2, 4).
Back
y = \frac{4}{3}x + \frac{4}{3}.
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