Point Slope Form

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•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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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 convert a point-slope equation to slope-intercept form?
Back
To convert from point-slope form (y - y₁ = m(x - x₁)) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.
Tags
CCSS.8.F.A.3
CCSS.8.EE.B.6
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.
Tags
CCSS.8.F.A.3
CCSS.8.EE.B.6
4.
FLASHCARD QUESTION
Front
Given the point (2, 3) and a slope of 4, write the point-slope form of the equation.
Back
The point-slope form is: y - 3 = 4(x - 2).
5.
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 represents.
6.
FLASHCARD QUESTION
Front
If a line has a slope of -2 and passes through the point (1, 5), what is the point-slope form?
Back
The point-slope form is: y - 5 = -2(x - 1).
7.
FLASHCARD QUESTION
Front
How can you find the slope of a line given two points (x₁, y₁) and (x₂, y₂)?
Back
The slope (m) can be calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁).
Tags
CCSS.8.EE.B.5
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