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 find the equation of the line joining the points A(1, 3) and B(0, 0) using determinants, and to find the value of k such that the area of triangle ABD is 3 square units, we can follow these steps:

### Step 1: Set up the determinant for the equation of the line
The general form of the equation of a line passing through two points (x1, y1) and (x2, y2) can be expressed using the determinant:

\[
\begin{vmatrix}
x & y & 1 \\
...