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

(–40, 20)

(–10, –20)

(15, –30)

(5, –15)

Which ordered pair would form a proportional relationship with the point graphed below-example-1
User Antot
by
6.5k points

2 Answers

5 votes

Answer:

(15, -30)

Step-by-step explanation:

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

User Lauri Laanti
by
7.0k points
1 vote

Answer:

Option C.

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.

User Matt Leach
by
6.7k points