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:
[tex]\text{distance}=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Replacing terms:
[tex]\text{distance}=\sqrt[]{(3-4)^2+(1-(-3))^2}[/tex]
Adding like terms:
[tex]\text{distance}=\sqrt[]{(-1)^2+(4)^2}[/tex]
Simplifying the powers:
[tex]\text{distance}=\sqrt[]{1+16}[/tex]
Adding terms:
[tex]\text{distance}=\sqrt[]{17}[/tex]
So, the distance is equal to sqrt(17)
