Question

Find the distance between the points $(-5,-6)$ and $(-4,2)$

Answer 1

Using the distance formula $d=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$,

We find
$d=\sqrt{(-4+5{)}^2+(2+6{)}^2}=\sqrt{1^2+8^2}$

$=\sqrt{1+64}$

$=\sqrt{65}$