Explanation:

- To find the equation of a line that cuts off equal intercepts from the axes, we use the form \( x/a + y/a = 1 \) or \( x + y = a \).

- Since it passes through (1, -2), substitute to find 'a':

\( 1 + (-2) = a \)

This simplifies to \( a = -1 \).

- Substitute 'a' back into the line equation form:

\( x + y = -1 \).

- Rearranging gives \( x + y + 1 = 0 \).

Let's evaluate the options:

1. Option 1: \( x+y-1=0 \) — The intercepts are not equal.

2. Option 2: \( x-y-1=0 \) — This line isn't relevant to our criteria.

3. Option 3: \( x+y+1=0 \) — This matches our derived equation.

4. Option 4: \( x-y-2=0 \) — Not relevant to our criteria.

Option 3 is correct, as it meets the condition of equal intercepts and passes through (1, -2).