Draw the graph of the line y = x and show that the point (2, 3) does not lie on it.

When x = – 4 then, y = x


y = – 4


When x = – 2 then, y = x


y = – 2


When x = 0 then, y = x


y = 0


When x = 2 then, y = x


y = 2


When x = 4 then, y = x


y = 4


Thus we have the following table,


X



– 4



– 2



0



2



4



Y



– 4



– 2



0



2



4



On plotting we get the following graph,



Clearly from the graph, (2,3) does not lie on the line y = x


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