Learning Check 31 Retake: Point Slope Form
Flashcard
•
Mathematics
•
8th 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
How do you convert two points into point-slope form?
Back
To convert two points (x₁, y₁) and (x₂, y₂) into point-slope form, first calculate the slope m = (y₂ - y₁) / (x₂ - x₁), then use one of the points in the equation y - y₁ = m(x - x₁).
3.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y + 3 = -4(x - 9)?
Back
The slope of the line is -4.
4.
FLASHCARD QUESTION
Front
Given the equation y + 6 = 10(x - 9), what point is used to write this equation?
Back
The point used is (9, -6).
5.
FLASHCARD QUESTION
Front
Write the point-slope form for the line that passes through the point (-2, -3) with a slope of 1.
Back
y + 3 = 1(x + 2).
6.
FLASHCARD QUESTION
Front
What does the term 'slope' represent in a linear equation?
Back
The slope represents the rate of change of y with respect to x, indicating how steep the line is.
7.
FLASHCARD QUESTION
Front
If the slope is 5 and the line passes through the point (-1, -3), what is the equation in point-slope form?
Back
y + 3 = 5(x + 1).
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