Explanation:

- First, find the intersection of the lines:

x + 2y + 2 = 0

2x - 3y - 3 = 0

- Solve simultaneously:

From first, x = -2y - 2

Plug into second: 2(-2y - 2) - 3y - 3 = 0 ? -4y - 4 - 3y - 3 = 0 ? -7y = 7 ? y = -1

Then x = -2(-1) - 2 = 2 - 2 = 0

So, intersection: (0, -1)

- Next, a line with equal intercepts in 4th quadrant:

If intercepts are 'a' (positive x-intercept), '-a' (negative y-intercept).

Equation of line: x/a + y/(-a) = 1 ? x/a - y/a = 1 ? x - y = a

- This line passes through (0, -1):

0 - (-1) = a ? a = 1

- Sum of absolute values: |a| + |-a| = 1 + 1 = 2

- Correct answer is option 1: 2