Question

Point A has coordinates (2, 9) and point B has coordinates (12, 3). Point C is 2/3 of the way from A to B.

Find the coordinates of C

Answer 1

The coordinates of C are (6,6.6)

Explanation:

Here, we want to find the coordinates of point C

Mathematically, we can use the internal division formula here;

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

Where;

m = 2 and n = 3

x1 = 2 , x2 = 12

y1 = 9 , y2 = 3

Substituting these values;

(x,y) = (3(2) + 2(12))/(2 + 3) , (3(9) + 2(3))/(2+3)

= (6 + 24)/5 , (27 + 6)/5

= 30/5, 33/5 = (6, 6.6)