Question

A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?

The line represents a direct variation because = negative StartFraction 4 Over 3 EndFraction equals StartFraction 4 Over 3 EndFraction.
The line represents a direct variation because it is horizontal.
The line does not represent a direct variation because it does not go through the origin.
The line does not represent a direct variation because –4(3) ≠ 4(3).

Answer 1

The correct choice is: "The line does not represent a direct variation because it does not go through the origin."

Reason: A direct variation has the form y = kx and must pass through (0,0). The line through (−4,3) and (4,3) is y = 3, which does not pass through the origin, so it is not a direct variation.