Chapter 11.2, Problem 37E

a.

To determine

To draw: the graph to represent the situation.

Answer to Problem 37E

The town square must be placed midway between the linrary and the firestation.

Explanation of Solution

Given:

The ordered pair of the library is $\left(-7,6\right)$ and the ordered pair of the fire station is $\left(12,8\right)$ .

Calculation:

According to the question:

Draw the graph to represent the situation and draw a line from the given points in the graph. Then:

Now, the graph is given below

  

Hence, the town square must be placed midway between the linrary and the firestation.

b.

To determine

To find: the coordinates indicating where the town square must be placed.

Answer to Problem 37E

  $\left(\frac{5}{2},7\right)$ .

Explanation of Solution

Given:

The ordered pair of the library is $\left(-7,6\right)$ and the ordered pair of the fire station is $\left(12,8\right)$ .

Calculation:

According to the question:

First find the mi-point of the coordinates so that to find the coordinates indicating where the town square must be placed. Thus,

The coordinates are $\left(\frac{-7+12}{2},\frac{6+8}{2}\right)=\left(\frac{5}{2},7\right)$

Hence, the coordinates indicating where the town square is $\left(\frac{5}{2},7\right)$