Direct variation and slopes
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is direct variation?
Back
Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.
2.
FLASHCARD QUESTION
Front
What is the constant of variation in direct variation?
Back
The constant of variation (k) is the ratio of y to x in a direct variation relationship, represented as k = y/x.
3.
FLASHCARD QUESTION
Front
If y varies directly with x, and y = 10 when x = 5, what is the constant of variation?
Back
k = 10/5 = 2.
4.
FLASHCARD QUESTION
Front
What is the graph of a direct variation?
Back
The graph of a direct variation is a straight line that passes through the origin (0,0).
5.
FLASHCARD QUESTION
Front
If x = 3 and y = 12 in a direct variation, what is the equation?
Back
y = 4x.
6.
FLASHCARD QUESTION
Front
What ordered pair does a direct variation always go through when graphed?
Back
(0, 0).
7.
FLASHCARD QUESTION
Front
If y varies directly as x and y = 8 when x = 2, what is y when x = 4?
Back
y = 16.
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