Question

Find the coordinates of the point which divides internally the line joining the points of (8.9) and (-7,4) in the ratio 2:3

Answer 1

divide the line up into five equal pieces
length of each x piece = (8- -7)/5 = 15/5 = 3
length of each y piece = (9-4)/5 = 5/5 = 1

so now answer depends on if you are going two pieces from the left or the right.
If moving 2/5 of the way right from (-7 ,4)
x = -7 + 2*3 = -1
y = 4 + 2*1 = 6
so that would be at (-1,6)

Answer 2

(8,9), (x,y), (-7,4).

x-8 = 2/3(-7-8).
x = -2.

y-9 = 2/3(4-9).
Y = 17/3 = 5 2/3.

Answer 3

post it.