CAN ANYONE CONFIRM IS THE ANSWER B

Question

A directed line segment starts at (1,0) and ends at (4,6). Point R partitions the segment in the ratio of 2 to 1. What are the coordinates of point R?  A=(3,3.5) B=(3,4) C=(3.5,3) D (4,3)

Answer 1

R(x, y)

x = (2/3)(x2 - x1) = (2/3)(4-1)

y = (2/3)(y2 - y1) = (2/3)(6-0)

Answer 2

Let M(1, 0) and N(4, 6);

Vector MN = <4 - 1, 6 - 0> = <3, 6>; MR = 2/3MN = <2, 4>. If R(x, y), then x - 1 = 2; x = 3; y - 0 = 4; y = 4

So, R is (3, 4) Amswer is B: R = (3, 4)