FLASHCARD 3 - Slope-Intercept Form

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•
Mathematics
•
12th Grade
•
Hard
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1.
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.
2.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a linear equation?
Back
To find the y-intercept, set x = 0 in the equation and solve for y.
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, indicating how steep the line is.
4.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a graph?
Back
The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.
5.
FLASHCARD QUESTION
Front
How do you graph a line using the slope-intercept form?
Back
Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run to plot additional points.
6.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y = 3x + 2?
Back
The slope is 3.
7.
FLASHCARD QUESTION
Front
Convert the equation 2x + 3y = 6 into slope-intercept form.
Back
y = -rac{2}{3}x + 2.
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