Writing Equations (Point Slope Form)
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
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 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 a point and slope into point-slope form?
Back
To convert a point (x₁, y₁) and slope m into point-slope form, use the formula: y - y₁ = m(x - x₁).
3.
FLASHCARD QUESTION
Front
Write the equation in point-slope form for the point (3, 2) with a slope of 4.
Back
y - 2 = 4(x - 3).
4.
FLASHCARD QUESTION
Front
What does the slope (m) represent in a linear equation?
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
If a line has a slope of -2, what does this indicate about the line's direction?
Back
A slope of -2 indicates that the line descends from left to right, meaning for every 1 unit increase in x, y decreases by 2 units.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
Write the equation in point-slope form for the point (1, -1) with a slope of 3.
Back
y + 1 = 3(x - 1).
7.
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.
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