Find the coordinates of the points which divides the line segment joining the points `(6,\ 3)` and `(-4,\ 5)` in the ratio `3\ :2` internally.

Explanation

To find the coordinates of the point that divides the line segment joining the points \( (6, 3) \) and \( (-4, 5) \) in the ratio \( 3:2 \) internally, we can use the section formula. The section formula states that if a point \( P(x, y) \) divides the line segment joining two 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 follows:

\[ P\left( \frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n} \right) \]

### Step-by-Step Solution:

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