Am I correct, today our math teacher can't help us because they're busy.

First, we need to calculate the distance from C to F as:
Distance = F - C
Distance = 5 - ( -4)
Distance = 5 + 4
Distance = 9
Then, we can calculate 1/5 of that distance as:
[tex]\frac{1}{5}\cdot9=\frac{9}{5}=1.8[/tex]Finally, the coordinate of point H is:
H = C + 1.8 = -4 + 1.8 = -2.2
Answer: H = - 2.2