Point slope form
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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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
Write the equation in point-slope form of the line that passes through the point (3, 4) with a slope of 2.
Back
y - 4 = 2(x - 3)
3.
FLASHCARD QUESTION
Front
What does the slope (m) represent in the point-slope form?
Back
The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.
4.
FLASHCARD QUESTION
Front
Convert the equation y - 1 = 3(x + 2) to slope-intercept form.
Back
y = 3x + 7
5.
FLASHCARD QUESTION
Front
If a line has a slope of -1 and passes through the point (2, 3), what is its equation in point-slope form?
Back
y - 3 = -1(x - 2)
6.
FLASHCARD QUESTION
Front
What is the significance of the point (x₁, y₁) in the point-slope form?
Back
The point (x₁, y₁) is a specific point on the line that the equation describes.
7.
FLASHCARD QUESTION
Front
Write the equation in point-slope form of the line that passes through the point (-1, 2) with a slope of 7.
Back
y - 2 = 7(x + 1)
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