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 section formula. The section formula states that if a point P divides the line segment joining two points A(x1, y1) and B(x2, y2) 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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