Question

Which graph represents a function with direct variation?

A coordinate grid with a line passing through (0, 1) and (1, 1)

A coordinate grid with a line passing through (negative 2, 1), (0, 0) and (2, negative 1)

A coordinate grid with a line passing through (negative 3, negative 3), (0, negative 2) and (3, negative 1)

A coordinate grid with a line passing through (negative 2, negative 2), (0, 1) and (2, 4)

Answer 1

The second graph. Direct variation is y = kx, so the line must pass through the origin (0,0). Only the line with points (-2, 1), (0, 0), (2, -1) goes through the origin (slope = -1/2).