Question

The distance between the points (-1, 5) and (2, 1) is ___ units.

Answer 1

Distance formula for the points $(x_1,y_1)and(x_2,y_2)$ = $\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$
$\therefore$ Distance between the points (-1, 5) and (2, 1),
d = $\sqrt{{(2-(-1\left)\right)}^2+{(1-5)}^2}$
= $\sqrt{{(2+1)}^2+{(-4)}^2}$
= $\sqrt{9+16}$ = $\sqrt{25}$
= 5 units