Question

Which graph and equation shows a proportional relationship between x and y?

Answer 1

The first graph

Explanation:

Every other graph's equation is y=mx+b,and the +b part makes it non-proportional.

Answer 2

Only the first graph with equation,

y = 11.5x

shows a proportional relationship between x and y.

Explanation:

Only the first graph with equation,

y = 11.5x

shows a proportional relationship between x and y.

We know that y is proportional to x , written as,

y ∝ x

only when, y =
`k * x` where k ≠ 0