Find the equation of the perpendicular bisector of the line joining the points `(1,3)` and `(-2,6)`.

Explanation

To find the equation of the perpendicular bisector of the line segment joining the points \( A(1, 3) \) and \( B(-2, 6) \), we can follow these steps:

### Step 1: Find the Midpoint of the Line Segment AB
The midpoint \( M \) of the line segment joining points \( A(x_1, y_1) \) and \( B(x_2, y_2) \) is given by the formula:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Substituting the coordinates of points \( A(1, 3) \) and \( B(-2, 6) \):
...