Which ordered pair would form a proportional relationship with the point graphed below
Answers
Answer:
40,10
Step-by-step explanation:
The line is nearly in 40,10 that is the answer
The ordered pair would form a proportional relationship with the point graphed below is (5,20)
Given : The graph
To find : The ordered pair would form a proportional relationship with the point graphed below
Solution :
Step 1 of 3 :
Find the proportional relationship
Let us consider a general point (x, y) is the coordinates system
Since there is a proportional relationship
Let y ∝ x
Then y = kx
Step 2 of 3 :
Find the value of k
From the graph we see that there is a point (10,40)
So we have x = 10 , y = 40
Thus we get
40 = k × 10
⇒ k = 4
∴ y = 10x
Step 3 of 3 :
Find the required point
For x = 40 , y = 160
So (40,160) is a point
Thus (40,10) is not a point on the graph
For x = - 5, y = - 20
So (-5,-20) is a point
Thus (-5,-10) is not a point on the graph
For x = 5, y = 20
So (5,20) is a point
Thus (5,20) is a point on the graph
For x = - 10, y = - 40
So (-10,-40) is a point
Thus (-10,-20) is not a point on the graph
Hence the correct option is (5,20)
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