(i) Find equation of line joining (1,2) and (3,6) using determinants,
(ii) Find equation of line joining (3, 1) and (9,3) using determinants.

Explanation

To find the equations of the lines joining the given points using determinants, we can use the concept that the area of the triangle formed by three collinear points is zero.

### Part (i): Finding the equation of the line joining the points (1, 2) and (3, 6)

1. **Identify the points**:
Let the points be \( A(1, 2) \) and \( B(3, 6) \). We need to find the equation of the line joining these two points.

2. **Assume a general point**:
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