
Point-Slope Form
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
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 of a linear equation is given by the formula: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.
2.
FLASHCARD QUESTION
Front
How do you identify the slope from a point-slope equation?
Back
In the point-slope form y - y_1 = m(x - x_1), the slope m is the coefficient of (x - x_1).
3.
FLASHCARD QUESTION
Front
What does the term 'perpendicular lines' mean in the context of slopes?
Back
Two lines are perpendicular if the product of their slopes is -1. If one line has a slope m, the other line's slope will be -1/m.
4.
FLASHCARD QUESTION
Front
Convert the point-slope equation y - 2 = 3(x + 1) to slope-intercept form.
Back
To convert to slope-intercept form, simplify: y = 3x + 3 + 2, which gives y = 3x + 5.
5.
FLASHCARD QUESTION
Front
What is the significance of the point (x_1, y_1) in the point-slope form?
Back
The point (x_1, y_1) represents a specific point through which the line passes.
6.
FLASHCARD QUESTION
Front
If a line has a slope of 2, what is the slope of a line perpendicular to it?
Back
The slope of a line perpendicular to a line with slope 2 is -1/2.
7.
FLASHCARD QUESTION
Front
Write the point-slope form for a line with slope -4 passing through the point (2, 3).
Back
The point-slope form is y - 3 = -4(x - 2).
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