The distance from your house to the school is one-fourth of the distance from the school to the movie theater. What point on the graph represents your school?.

(-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)

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction