Answer:
(-1,0)
Step-by-step explanation:
Here, our interest lies in finding the coordinates that splits the points (-5,-8) and (2,6) in the ratio 4:3. Let the point that does the splitting be called point P
The section formula is used here and the point we are having would be;
P = (mx2 + nx1)/(m+n) , (my2 + ny1)/(m + n)
From the question;
m = 4 and n = 3
x1 = -5, y1 = -8
x2 = 2 , y2 = 6
Plugging these values in the equation above, we have;
P = [4(2) + 3(-15)](3+4), [4(6) + 3(-8)]/(3+4)
P = (8-15)/7, (24-24)/7
= -7/7, 0/7
= (-1, 0)
The coordinates of point P is (-1,0)
