Point-Slope Form
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form of a linear equation is given by the formula: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.
2.
FLASHCARD QUESTION
Front
How do you find the slope from two points (x_1, y_1) and (x_2, y_2)?
Back
The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).
3.
FLASHCARD QUESTION
Front
What does the slope represent in a linear equation?
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
Convert the point-slope equation y - 2 = 3(x + 4) to slope-intercept form.
Back
To convert to slope-intercept form, solve for y: y = 3x + 14.
5.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y + 1 = -2(x - 3)?
Back
The slope of the line is -2.
6.
FLASHCARD QUESTION
Front
Given the point-slope equation y - 5 = 4(x - 1), what is the y-intercept?
Back
The y-intercept is 1, found by converting to slope-intercept form: y = 4x - 4.
7.
FLASHCARD QUESTION
Front
Write the point-slope form for a line with slope 2 passing through the point (1, 3).
Back
The point-slope form is: y - 3 = 2(x - 1).
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