Direct and Inverse Variation — Quiz

Question 1 • CMS 2026-2027 NC Math 2 CREDIT RECOVERY

Which graph represents a direct variation?

Answer

Image with description On a coordinate plane, a curve goes through the point negative 1 comma negative 3. It approaches the x-axis from the left of this point. It approaches the y-axis from the right of this point. Another curve goes through the point 1 comma 3. It approaches the y-axis from the left of this point. It approaches the x-axis from the right of this point.

Image with description On a coordinate plane, a line passes through the point negative 1 comma negative 3, the point 0 comma 0, and the point 1 comma 3.

Image with description On a coordinate plane, a curve goes through the point negative 1 comma 3. It approaches the x-axis from the left of this point. It approaches the y-axis from the right of this point. Another curve goes through the point 1 comma negative 3. It approaches the y-axis from the left of this point. It approaches the x-axis from the right of this point.

Image with description On a coordinate plane, a line passes through the point negative 2 comma negative 3, the point 0 comma negative 2, and the point 2 comma negative 1.

Explanation

A direct variation has the form y = kx, so its graph is a straight line that passes through the origin (0, 0). Choice B is a line through the origin; its points also have the same ratio y/x = 3. Choice D is a line but does not pass through the origin, and choices A and C are curves.

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