Question

The equation of a straight line passing through (–3, 2) and cutting intercepts from the axes whose sum is zero, is ___________.

Answer 1

Let us suppose equation of line is $\frac{x}{a}+\frac{y}{-a}=1$
Since line passes through, (–3, 2)
$$\begin{gathered} \frac{-3}{a}-\frac{2}{a}=1 \\ \mathrm{i}.\mathrm{e}.\frac{-5}{a}=1 \\ \mathrm{i}.\mathrm{e}.a=-5 \\ \mathrm{i}.\mathrm{e}.-x+y=5 \end{gathered}$$
i.e. x – y + 5 = 0 is the required equation of line.