Find the equation of the line joining `A(1,\ 3)` and `B(0,\ 0)` using determinants and find `k` if `D(k ,\ 0)` is a point such that area of ` A B D` is 3 sq. units.

Explanation

To solve the problem step by step, we will find the equation of the line joining points A(1, 3) and B(0, 0) using determinants, and then we will find the value of k such that the area of triangle ABD is 3 square units.

### Step 1: Find the equation of the line joining points A and B

1. **Identify the points**:
Let A(1, 3) and B(0, 0). We will denote point C as (x, y).

2. **Use the formula for the area of a triangle**:
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