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 triangle ABD is 3sq units.

Explanation

To solve the problem, we need to find the equation of the line joining points A(1, 3) and B(0, 0) using determinants, and then 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 A and B

We will use the determinant method to find the equation of the line. The area of triangle formed by points A, B, and a point C(x, y) is given by the determinant:

\[
\text{Area} = \frac{1}{2} \begin{vmatrix}
...