Question

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is located at (11,11) and the Bus Station is located at (-3,3).

Answer 1

Answer:

(25,19)

Step-by-step explanation:

We are to find the location of the train station.

Using the formula for calculating midpoint given as:

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

X = x1+x2/2

Y = y1+y2/2

Given

M(X,Y) = (11,11)

Bus station (x1, y1) = (-3,3)

Substituting the given parameters into the formula.

11 = -3+x2/2

Cross multiply

11×2 = -3+x2

22 = -3+x2

x2 = 22+3

x2 = 25

Similarly

Y = y1+y2/2

11 = 3+y2/2

Cross multiply

11×2 = 3+y2

22 = 3+y2

y2 = 22-3

y2 = 19

Hence the location of the train station is at (25,19)