Answer: 8 units
Step-by-step explanation:
We will use the distance formula.
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]\displaystyle d=\sqrt{(-4-4)^2 +(7-7)^2}[/tex]
[tex]\displaystyle d=\sqrt{(-8)^2 +(0)^2}[/tex]
[tex]\displaystyle d=\sqrt{64[/tex]
d = 8