Point-Slope Form
Flashcard
•
Mathematics
•
9th 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 of a linear equation is given by: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.
2.
FLASHCARD QUESTION
Front
How do you find the slope of a line given two points (x₁, y₁) and (x₂, y₂)?
Back
The slope (m) is calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁).
3.
FLASHCARD QUESTION
Front
What does the variable 'm' represent in the point-slope form?
Back
In the point-slope form, 'm' represents the slope of the line.
4.
FLASHCARD QUESTION
Front
If a line has a slope of 1/2, what does this indicate about the line's steepness?
Back
A slope of 1/2 indicates that for every 2 units you move horizontally to the right, the line rises 1 unit vertically.
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, which is used to define the line's position in the coordinate plane.
6.
FLASHCARD QUESTION
Front
Convert the point-slope form y - 2 = 4(x + 8) to slope-intercept form.
Back
To convert to slope-intercept form, expand and simplify: y = 4x + 32 + 2, which gives y = 4x + 34.
7.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y + 1 = -3(x - 5)?
Back
The slope of the line is -3.
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