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)

explain why.

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