The equation of a line in the intercept form is
Here, a and b are the intercepts on x and y axes respectively.
It is given that the line cuts off equal intercepts on both the axes. This means that a = b. Accordingly, equation (i) reduces to
Since the given line passes through point (2, 3), equation (ii) reduces to 2 + 3 = a ⇒ a = 5
On substituting the value of a in equation (ii), we obtain x + y = 5, which is the required equation of the line
