Question

find the coordinates of the point P which divides the join of a - 2,5 and be 3 ,- 5 in the ratio 2:3

Answer 1

check the attachment

Answer 2

P=
$( \frac{2 \times 3 + 3 \times - 2}{2 + 3} ,\frac{2 \times - 5 + 3 \times 5}{2 + 3} )$
$( \frac{6 - 6}{5}, \frac{ - 10 + 15}{5} )$
$( \frac{0}{5}, \frac{5}{5} )$
$(0, \: 1)$