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Question
Write the equation of the line passing through the point (1, −2) and cutting off equal intercepts from the axes.
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Solution
Let the equation of the required line be \[\frac{x}{a} + \frac{y}{a} = 1 \left[ \because \text { the line has equal intercepts } \right]\]
Now, it is passing through (1, −2)
\[\therefore \frac{1}{a} - \frac{2}{a} = 1\]
\[ \Rightarrow a = - 1\]
Hence, the required equation is given by
\[\frac{x}{- 1} + \frac{y}{- 1} = 1\]
\[ \Rightarrow x + y + 1 = 0\]
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