Find the coordinates of the point which divides the line segment joining the points `(4,\ 3)\ a n d\ (8,\ 5)`in the ratio 3 : 1 internally.

Explanation

To find the coordinates of the point that divides the line segment joining the points (4, 3) and (8, 5) in the ratio 3:1 internally, we can use the internal section formula. The formula for finding the coordinates of a point that divides the line segment joining two points \( (x_1, y_1) \) and \( (x_2, y_2) \) in the ratio \( m:n \) is given by:

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

### Step 1: Identify the points and the ratio
Let:
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