Question

a has a coordinate (-2,4). B has a coordinate (9,11). find the coordinate of point p has a p that partion AB into a ratio 3:4

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the Section formula, then

$x_{P}$ = $\frac{3(9)+4(-2)}{3+4}$ = $\frac{27-8}{7}$ = $\frac{19}{7}$

and

$y_{P}$ = $\frac{3(11)+4(4)}{3+4}$ = $\frac{33+16}{7}$ = $\frac{49}{7}$ = 7

Hence

P = ( $\frac{19}{7}$, 7 )