Let's begin by listing out the information given to us:
[tex]\begin{gathered} (x_{1,}y_1)=(7,11) \\ (x_{2,}y_2)=(-1,5) \end{gathered}[/tex]The distance formula is given by the Pythagoras theorem shown below:
[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt[]{(-1-7)^2+(5-11)^2}=\sqrt[]{(-6)^2+(-6)^2} \\ d=\sqrt[]{36+36}=\sqrt[]{72} \\ d=6\sqrt[]{2} \end{gathered}[/tex]OR
The distance formula is the difference between two points on the same coordinate, all squared
d
