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Solutions of Linear Equation in 2 Variables on a Graph

Can you obser...

Question

Can you observe a common relation between the second and the first co-ordinate of each of the following points (0, 3), (1, 5), (2, 7), (3, 9) and (4, 11) Write the relation. What is the graph of that relation.

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Solution

We observe from the points (0, 3), (1, 5), (2, 7), (3, 9) and (4, 11) that the value of y- co-ordinate is 3 more than twice the value of x-co-ordinate.
Therefore, the equation of the line is y = 2x + 3.
We draw the graph of this relation using the given points as shown:

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