Question

please solve the problem and identify what was wrong in solving the problem

Answer 1

$\begin{gathered} Let\colon \\ (x1,y1)=(-1,2) \\ (x2,y2)=(-7,-6) \end{gathered}$

Using the distance formula:

$d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}$

Therefore:

$\begin{gathered} d=\sqrt[]{(-7-(-1))^2+(-6-2)^2} \\ d=\sqrt[]{(-7+1)^2+(-6-2)^2} \\ d=\sqrt[]{(-6)^2+(-8)^2} \\ d=\sqrt[]{36+64} \\ d=\sqrt[]{100} \\ d=10 \end{gathered}$

Answer:

10