Prove that the line `y-x+2` `=0` divides the join of points (3,-1) and (8,9) in the ratio 2:3.

Explanation

To prove that the line \( y - x + 2 = 0 \) divides the join of the points \( (3, -1) \) and \( (8, 9) \) in the ratio \( 2:3 \), we will follow these steps:

### Step 1: Find the equation of the line joining the points \( (3, -1) \) and \( (8, 9) \).

The formula for the equation of a line through two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:

\[
y - y_1 = \frac{y_2 - y_1}{x_2 - x_1} (x - x_1)
...