Answers Mathematics I Special Linear Relationships — QuizQuestion 9

9

QuizMultiple Choice

Special Linear Relationships — Quiz

Question 9 • Mathematics I

Which graph represents a function with direct variation?

Answer

A

Image with description A coordinate plane with a line passing through (negative 4 comma negative 5) and (0 comma 3).

B

Image with description A coordinate plane with a line passing through (negative 4 comma 0) and (0 comma negative 2).

C

Image with description A coordinate plane with a line passing through (negative 5 comma 4) and (0 comma 3).

D

Image with description A coordinate plane with a line passing through (negative 1 comma negative 4), (0 comma 0) and (1 comma 4).

Explanation

A direct variation has the form y = kx, so its graph must pass through the origin (0, 0). Choice D passes through (0, 0), and its points also fit y = 4x. The other lines do not pass through the origin, so they are not direct variations.

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