Question

Which ordered pair would form a proportional relationship with the point graphed below?


On a coordinate plane, a line goes through points (0, 0), (10, 40) and (negative 10, negative 40).
(40, 10)
(–5, –10)
(5, 20)
(–10, –20)

Answer 1

A proportional relationship through the origin has equation y = kx. From (10, 40), k = 40/10 = 4, so y = 4x. Check the choices:

- (5, 20): 4·5 = 20 → true.

So (5, 20) is the correct pair.