Find the co-ordinates of a point which divides the line segment joining the points (5, 1) and (-10, 11) in the ratio 2 : 3 internally.

Explanation

To find the coordinates of a point that divides the line segment joining the points (5, 1) and (-10, 11) in the ratio 2:3 internally, we can use the section formula. The section formula states that if a point divides the line segment joining two points (x1, y1) and (x2, y2) in the ratio m:n, then the coordinates (x, y) of the dividing point 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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