SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Draw the image
STEP 2: Explain the coordinate of the library
Since the distance from the library to the school is the same as the distance from the bank to the school, this implies that the library is located at a midpoint of the school and the bank.
[tex]\begin{gathered} midpoint=(\frac{x_2+x_1}{2},(\frac{y_2+y_1}{2}) \\ (x_1,y_1)=(2,4) \\ (x_2,y_2)=(6,4) \\ midpoint=(\frac{2+6}{2},\frac{4+4}{2}) \\ midpoint=(\frac{8}{2},\frac{8}{2})=(4,4) \end{gathered}[/tex]
Hence, the coordinates of the library is (4,4)
