Find the coordinates of the point which divides the join of `(1,\ 7)` and `(4,\ 3)`in the ratio `2 : 3`.

Explanation

To find the coordinates of the point that divides the line segment joining the points (1, 7) and (4, 3) in the ratio 2:3, we can use the section formula. The section formula states that if a point P divides the line segment joining points A(x1, y1) and B(x2, y2) in the ratio m:n, then the coordinates of point P (x, y) can be calculated as follows:

\[ x = \frac{mx_2 + nx_1}{m + n} \]
\[ y = \frac{my_2 + ny_1}{m + n} \]
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