Question

find the coordinates of the point p which divides the line joining of A (-2,5) and B (3,5) in the ratio 2:3

Answer 1

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Answer 2

Section Formula:

$(x,y) = (\frac{mx_{2}+nx_{1}}{m+n}, \frac{my_{2}+ny_{1}}{m+n})$

Where (x,y) are coordinates of the point dividing the line segment (in ratio m:n) whose end points' coordinates are (x1, y1), (x2, y2).

Now just plug in the values.

$x = \frac{2 \times 3 - 3 \times 2}{5} \\ x = 0$
$y = \frac{2 \times 5 + 3 \times 5}{5} \\ y = 5$

Thus the coordinates of P are (x,y) = (0,5)