We are given the following two points

We are asked to find the distance between these two points.
Recall that the distance formula is given by

For the given case, we have

Let us substitute these points into the above distance formula
![\begin{gathered} d=\sqrt[]{({x_2-x_1})^2+({y_2-y_1})^2} \\ d=\sqrt[]{({-5-4})^2+({-7-(-7)})^2} \\ d=\sqrt[]{({-5-4})^2+({-7+7})^2} \\ d=\sqrt[]{({-9})^2+({0})^2} \\ d=\sqrt[]{81} \\ d=9 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4tfwxun1w178ash63vq8c34y62yfjc23xr.png)
Therefore, the distance between the points (4, -7) and (-5, -7) is 9 units.
Option D is the correct answer.