Special Linear Relationships — Quiz

Question 7 • Mathematics I

Which graph represents a function with direct variation?

Answer

Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 in increments of 1. A v shape with an origin at 0 comma 0 goes through the point 2 comma 2 and negative 2 comma 2

Image with description A coordinate plane with a line passing through (negative 2, negative 3), (0, 1) and (1, 3).

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

Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 in increments of 1. A parabola with an origin at 0 comma 0 goes through the points 2 comma 4 and negative 2 comma 4

Explanation

A direct variation has the form y = kx, so its graph is a straight line that passes through the origin (0, 0). Choice C is a straight line through the origin; for example, its point (4, −2) gives k = −2/4 = −1/2.

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