
Point-Slope Form
Flashcard
•
Mathematics
•
8th - 12th 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 is given by the equation y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.
2.
FLASHCARD QUESTION
Front
How do you convert point-slope form to slope-intercept form?
Back
To convert, solve for y: y - y₁ = m(x - x₁) becomes y = mx - mx₁ + y₁.
3.
FLASHCARD QUESTION
Front
What does the slope (m) 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
What is the slope of the line represented by the equation y - 3 = 2(x + 4)?
Back
The slope (m) is 2.
5.
FLASHCARD QUESTION
Front
If a line passes through the point (3, 1) with a slope of -2, what is its point-slope form?
Back
The point-slope form is y - 1 = -2(x - 3).
6.
FLASHCARD QUESTION
Front
What is slope-intercept form?
Back
Slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
7.
FLASHCARD QUESTION
Front
How do you find the y-intercept from the slope-intercept form?
Back
The y-intercept (b) is the value of y when x = 0 in the equation y = mx + b.
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