Question

Explain the distance formula. Then use it to calculate the distance between A(1, 1) and B(7, -7)

Answer 1

part B)
the requested distance is:
\[\Large \begin{gathered}
d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \hfill \\
\hfill \\
= \sqrt {{{\left( {7 - 1} \right)}^2} + {{\left( { - 7 - 1} \right)}^2}} = \sqrt {{6^2} + {{\left( { - 8} \right)}^2}} = ...? \hfill \\
\end{gathered} \]

Answer 2

Part A)

If we apply the theorem of Pitagora, we can write:
\[\Large d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} \]