Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).


We know that equation of the line making intercepts a and b on x-and y-axis, respectively, is


Given that the line cuts off equal intercepts on the coordinate axes i.e. a = b.


So,


x + y = a (1)


Given point = (2, 3)


2 + 3 = a


a = 5


Substituting a value in (1),


x + y = 5


x + y 5 = 0


Ans. The equation of the line is x + y – 5 = 0.


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