Given:
Line passing through the point (1, -2) and cutting off equal intercepts from the axes.
To find:
The equation of the line
Explanation:
Let the required equation of the line is:
\(\frac{x}{a}+\frac{y}{b} = 1\)
Now, passes through (1, -2)
\(\frac{1}{2}-\frac{2}{a}=1\)
⇒ a = -1
Hence, the required equation is:
\(\frac{x}{-1}+\frac{y}{-1}\) = 1
⇒ x + y + 1 = 0
Hence, equation of required line is x + y + 1 = 0.