Question

Find ratio in which pt (-3,p) divides line segment joining yhe pt (-5,-4) (-2,3) hence find the value of p

Answer 1

y = p, p = 10/3.
hope this will help you.

Answer 2

Section Formula States the following:

$\frac{m}{n} = \frac{a - b}{c - a}$
Where a is the abscissa of the point that divides the line segment.
Substituting the values,
$\frac{m}{n } = \frac{ - 3 + 5}{ - 2 + 3} = \frac{2}{1}$
Similarly, you can obtain the value of P
$\frac{m}{n} = \frac{2}{1} = \frac{p + 4}{3 - p}$
Which gives:
$6 - 2p = - 4 + 6 \\ 2p = 4 \\ p = 2$