Point-Slope Form Practice
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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
If the slope of a line is -4 and it passes through the point (9, -3), what is the equation in point-slope form?
Back
The equation is: y + 3 = -4(x - 9).
3.
FLASHCARD QUESTION
Front
How do you convert the equation y - 2 = -4x + 16 into slope-intercept form?
Back
Add 2 to both sides to get y = -4x + 18.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
What does the slope (m) represent in the equation of a line?
Back
The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
Given the points (3, -5) and (5, -1), what is the slope of the line connecting them?
Back
The slope m is calculated as m = (y₂ - y₁) / (x₂ - x₁) = (-1 - (-5)) / (5 - 3) = 2.
Tags
CCSS.8.EE.B.5
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
How can you identify the slope from the equation y - 3 = 2(x + 4)?
Back
The slope m is the coefficient of (x), which is 2 in this case.
Tags
CCSS.8.EE.B.5
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