Which statement about proportional relationships is false? a proportional relationship must graph as a line. a graph of a proportional relationship must pass through (0, 0). each point (or pair) in a proportional relationship must share the same ratio. each point (or pair) in a proportional relationship must share the same difference.

D. Each point (or pair) in a proportional relationship must share the same difference.

Step-by-step explanation:

We know that, a proportional relationship is the one in which two quantities varies directly.

i.e. x and y varies directly if y = kx where k is a constant called 'constant of proportionality'.

As we see that the relation form of proportion is given by y = kx, which is the equation of a straight line.

So, option A is correct.

Now, when x = 0 , y =kx gives that y = 0. So, the point (0,0) satisfy the proportional relationship.

So, option B is correct,

Now, let us consider y = 2x.

So, x = 1 gives y = 2 and x = 2 gives y = 4.

This gives us that the point ( x,y ) are in the ratio x : y = 1 : 2.

So, option C is also correct.

As, we obtain the points ( 1,2 ) and ( 2,4 ) from y = 2x. The difference in these points is given by,

( 1,2 ) has difference 2-1 = 1

( 2,4 ) has difference 4-2 - 2

So, we see that the difference of points is not same for a proportional relation

Hence, option D is not correct.

ANSWER:

D

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step-by-step explanation:

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