Question

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

Answer 1

Answer:

Option C.

Step-by-step explanation:

A proportional relationship is defined as

$y\propto x$

$y=kx$

where, k is the constant of proportionality.

From the given graph it is clear that there is proportional relationship with the point (-20,40).

Substitute x=-20 and y=40 in the above equation to find the value of k.

$40=k(-20)$

Divide by -20.

$-2=k$

The value of k is -2. So, the proportional relationship is defined as

$y=-2x$

At x=-40,

$y=-2(40)=-80$

It means point (-40,20) would not form a proportional relationship with the (-20,40).

Similarly,

At x=-10,

$y=-2(-10)=20$

At x=15,

$y=-2(15)=-30$

At x=5,

$y=-2(5)=-10$

It means points (-10,-20) and (5,-15) would not form a proportional relationship with the (-20,40).

Only point (15,-30) would form a proportional relationship with the (-20,40).

Therefore, the correct option is C.

Answer 2

Answer:

(15, -30)

Step-by-step explanation:

because it will go through the orgin in a straight line.