Question

Find the point Q along the directed line segement from point R (-3, 3) to point S(6, -3) that divides the segment in the ratio 2:1.

Answer 1

D.) (3,-1)

Explanation:

I got it correct on founders edtell

Answer 2

Explanation:

m : n = 2 : 1

R (-3, 3 ) ; x1 = -3 & y1 = 3

S(6 , -3) ; x2 = 6 & y2 = -3

Formula for the point that divides a line m:n =
`((mx_(2)+nx_(1))/(m+n) , (my_(2)+ny_(1))/(m+n))`

`Q((2*6+1*(-3))/(2+1), (2*-3 + 1*3)/(2+1))\\\\\\Q((12-3)/(3) , (-6+3)/(2+1))\\\\\\Q((9)/(3) , (-3)/(3))\\\\`

=Q(3, -1)