EXPLANATION
Given the points (x_1,y_1) = (-9,2) and (x_2,y_2) = (-4,2)
We can apply the distance formula in order to get the distance between them as shown as follows:
![\text{distance}=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/q4wn7bdp38fsjjlajb26jf8rqudyavm0jw.png)
Replacing terms:
![\text{distance}=\sqrt[]{(-4-(-9))^2+(2-2)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/zgvr92ko2kldsr24nm08mbcrpgi62r9aft.png)
Adding numbers:
![\text{distance}=\sqrt[]{(5)^2+(0)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/4xypgu99kr7xv6fwgk0cil4779xalw47hf.png)
Computing the powers:
![\text{distance}=\sqrt[]{25}=5](https://img.qammunity.org/2023/formulas/mathematics/college/x4qs3t8gtyaff3ypn8fhhm674sqfosnl03.png)
Hence, the distance is equal to 5 units.