Q26 of 51 Page 10

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


Let the equal intercepts on the axes be a.

Equation of line in intercept form is:
= 1

or x + y = a

As it passes through(2, 3), we have

2 + 3 = a ⇒ a = 5

Hence the required line is x + y = 5

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