EXPLANATION
Let's see the facts:
The distance between the ordered pairs (x_1,y_1)=(-3,4) and (x_2,y_2)=(1,3) is given by the following equation:
![\text{distance}=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/aztf8xohdiu6d5k3h91xiy1x9ypnuyawr4.png)
Replacing terms:
![\text{distance}=\sqrt[]{(3-4)^2+(1-(-3))^2}](https://img.qammunity.org/2023/formulas/mathematics/college/jzjau53s49otcbt7jqguepsaad7pqorsxg.png)
Adding like terms:
![\text{distance}=\sqrt[]{(-1)^2+(4)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/q99f1lvxnxxch9e2ozbxaymxy7m03wdxrk.png)
Simplifying the powers:
![\text{distance}=\sqrt[]{1+16}](https://img.qammunity.org/2023/formulas/mathematics/college/x0nri3svvrcjvp4umnyvlnc0v95efoxz18.png)
Adding terms:
![\text{distance}=\sqrt[]{17}](https://img.qammunity.org/2023/formulas/mathematics/college/fry2ilznwg5p1vwl4nmigbpj1jhw364p4s.png)
So, the distance is equal to sqrt(17)