Answer:
C = 16
Explanation:
Given point M=2 and J=18 on a number line, you want the coordinate of point C that is 7/8 of the distance from M to J.
Distance
The distance from M to J is the difference of their coordinates:
J -M = 18 -2 = 16
7/8 of that distance is ...
(7/8)(16) = 7(16/8) = 7(2) = 14
You are being asked for the coordinate of the point that is 14 units from M in the direction of J.
Point
To find the coordinate of C, we add the desired distance to the coordinate of M:
C = M +14
C = 2 +14 = 16
The coordinate of point C is 16.