Question

Which graph represents a function with direct variation?

A coordinate plane with a line passing through (negative 4, 0) and (0, negative 2).
A coordinate plane with a line passing through (negative 5, 4) and (0, 3).
A coordinate plane with a line passing through (negative 4, negative 6) and (0, 3).
A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4).

Answer 1

The fourth graph.

Direct variation means y = kx, so the line must pass through the origin. Only the line with points (-1, -4), (0, 0), (1, 4) passes through (0,0) (it is y = 4x).