Find the ratio in which the point `P(x,2)` divides the line segment joining the points `A(12,5) and B(4, -3)`. Also find the value of `x`.

Explanation

To solve the problem of finding the ratio in which the point \( P(x, 2) \) divides the line segment joining the points \( A(12, 5) \) and \( B(4, -3) \), and to find the value of \( x \), we can follow these steps:

### Step 1: Understand the Section Formula
The section formula states that if a point \( P \) divides the line segment joining points \( A(x_1, y_1) \) and \( B(x_2, y_2) \) in the ratio \( m:n \), then the coordinates of point \( P \) can be calculated as:
\[ P\left(\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}\right) \]

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