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Question

If the points on the given graph lie on a straight line, then which of the following points will lie on the same straight line?


A
(5,9)
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B
(9,19)
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C
(6,12)
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D
(7,15)
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Solution

The correct option is C (6,12)
Let’s try to draw a straight line through the points in the graph.


Observing the graph, we can see that the line is passing through the origin.
Ordered pairs:
This means when x is 1, the corresponding y value will be the unit rate.
The unit rate here is2.
Therefore, the equation of the straight line will be y=2x.

Option A: (6,12)
y=2(6)=12
Therefore, (6,12) lies on the straight line.

Option B: (5,9)
y=2(5)=10
Therefore, (5,9) does not lie on the straight line.

Option C: (7,15)
y=2(7)=14
Therefore, (7,15) does not lie on the straight line.

Option D: (9,19)
y=2(9)=18
Therefore, (9,19) does not lie on the straight line.





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