A point H on a segment with endpoints B(3, −1) and Z(12, 5) partitions the segment in a 5:1 ratio. Find H. You must show all work to receive credit

Question

A point H on a segment with endpoints B(3, −1) and Z(12, 5) partitions the segment in a 5:1 ratio. Find H. You must show all work to receive credit

Answer 1

12-3 = 9

9/(5+1) = 9/6 = 3/2

3/2 x 5 = 15/2

15/2 +3 = 21/2 = 10 1/2 for the x coordinate of H

5 - -1 = 6

6/6 = 1

5 x1 = 5

5+(-1) = 4 = the y coordinate of H

H = (10.5, 4)