Question

Line segment MN has an endpoint M at the point (6,8).

1. Point P is located on line segment MN at (26, 20)
2. The ratio of the length of MP : PN is 4:1

What are the coordinates of point N?

a (11, 11)
b (31, 23)
c (86, 56)
d (106, 68)

Please explain why.

Answer 1

b (31, 23)

Explanation:

Answer 2

The horizontal distance between M and P is
26 - 6 = 20
Dividing by the ratio
20/4 = 5
Adding this to the x coordinate of P to get the x coordinate of N
26 + 5 = 31

From the choices, it is obvious that the answer is
b (31, 23)

Doing the same thing for the horizontal distance will give you the y coordinate of N