Question

Find the distance between the following pairs of point.
$P(-5,7),Q(-1,3)$

Answer 1

$P\equiv (-5,7)$

$Q\equiv (-1,3)$

$\therefore d(P,Q)=\sqrt{(-5-(-1){)}^2}+(7-3{)}^2$

$\therefore d(P,Q)=\sqrt{16+16}$

$\therefore d(P,Q)=\sqrt{32}$

$\therefore d(P,Q)=4\sqrt{2}$