Find the equation of a line that cuts off equal intercepts on the co-ordinate axes and passes through the point (2,3).
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Let us consider the equation to be of the form (x/a) + (y/a) = 1, since the x and the y-intercepts are equal. Now since this line passes through the point (2,3), this point should satisfy the equation considered, therefore substituting we have (2/a) + (3/a) = 1, therefore a=5. Thus, the equation is x+y=5.
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