Question

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Train Station is located at (13,15) and the Bus Station is located at (5,1). The Tourist Information Center is located at point

x=___
y=___

Answer 1

X = 9 and Y = 8

Explanation:

We are to find the midpoint of the coordinates (13,15) and (5,1).

Using the midpoint formula;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1

X = 13+5/2

X = 18/2

X = 9

Similarly;

Y = 15+1/2

Y = 16/2

Y = 8

Hence The Tourist Information Center is located at point X = 9 and Y = 8