Answer:
(-7/4, -1)
Step-by-step explanation:
Notice that the difference between home and movie theatre in x and y coordinates is given by:
diff x coordinates: 5 - (-4) = 9 units
diff y coordinates; 2 - (-2) = 4 units
1/4 of the x-difference is 9/4
1/4 of the y-difference is 4/4 = 1
Then the school is located 9/4 in the x direction and 1 i the y direction from the coordinates of the home. That is:
school x coordinate = -4 + 9/4 = (-16+9)/4 = -7/4
school y coordinate = -2 + 1 = -1
Then the schoo'l coordinate pair is (-7/4, -1)