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Question

Find the equation of line which cuts off equal intercepts on the co-ordinates axes and passes through $$(2,5)$$. 


Solution

Let the equation of the line be $$x+y=a$$.......(1)
Where $$a$$ is the equal intercept made by the line on both the co-ordinate axes.
According to the problem, line (1) passes through $$(2,5)$$.
Then we get,
$$2+5=a$$
or, $$a=7$$.
So the equation of the line is $$x+y=7$$.

Mathematics

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