Question

If C(-2,5) and D(4,9), find the point P that divides CD two-thirds of the way from C to D.

(2, 23/3)


(2/5, 33/5)


(0, 19/3)


(8/3, 22/3)

Answer 1

Answer: (x , y) = ( 2, 7/3)

Explanation:

If C(-2,5) and D(4,9),

(x , y) = (X1 + k(X2 - X1), Y1 + k(Y2 -Y1))

Where k = 2/3

= -2+2/3(4- -2), 5+2/3(9-5))

= -2+2/3(6), 5+2/3(4)

= -2+4 , 5+8/3

(x , y) = ( 2, 7/3)