Segment rs has endpoints at r(5,-3) and s(5,13) , point q lies on rs such that rq : qs = 3 : 1 . which of the following must be on the coordinates of q?
(1) (5,1)
(2) (17,3)
(3) (5,9)
(4) (6,4)

(3) Q(5,9)

Step-by-step explanation:

Let point Q has coordinates (x,y). Consider vectors and Note that

Since then

Thus,

65

step-by-step explanation:

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions