Question

CHECK MY WORK : A point Q on a segment with endpoints A(2, −1) and C(4, 2) partitions the segment in a 3:1 ratio. Find Q.

Answer 1

3:1 ratio means there's 4 equal parts.
distance between 2 and 4 is 2.
to find the 3/1 distance multiply by 2
3/1 * 2/1 = 6/1

2 (3/4) = 1.53 (3/4) = 2.25

(2+1.5,-1+2.25)

=(3.5, 1.25)

Answer 2

^my answer

Answer 3

A(2, −1) and C(4, 2)

A-A, and C-A

A'(0,0) and C'(2, 3)

multply by 3/4

C'(2*3/4, 3*3/4) = C'(3/2, 9/4)

Q = C'+A

Q(3/2+2, 9/4-1)

Q(7/2, 5/4)

seems good to me

Answer 4

Thank you!