Point-Slope Form Practice

Flashcard
•
Mathematics
•
8th Grade
•
Hard
Standards-aligned
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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 - 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 find the slope (m) between two points?
Back
The slope (m) between two points (x₁, y₁) and (x₂, y₂) is calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
Given the points (-2, -3) and (4, 3), what is the slope of the line?
Back
The slope (m) is calculated as m = (3 - (-3)) / (4 - (-2)) = 6 / 6 = 1.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
Write the point-slope form of the line with slope 1 that passes through the point (-2, -3).
Back
The point-slope form is: y + 3 = 1(x + 2).
5.
FLASHCARD QUESTION
Front
What is the equation of a line in point-slope form with a slope of -12 and passing through (-4, -5)?
Back
The equation is: y + 5 = -12(x + 4).
6.
FLASHCARD QUESTION
Front
How do you convert point-slope form to slope-intercept form?
Back
To convert point-slope form (y - y₁ = m(x - x₁)) to slope-intercept form (y = mx + b), solve for y.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
7.
FLASHCARD QUESTION
Front
What is the slope of a line that is vertical?
Back
The slope of a vertical line is undefined.
Tags
CCSS.8.EE.B.5
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