Question

Find the distance between the following pairs of points $(6,5)$ and $(4,4)$.

Answer 1

We know that the distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is

$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$

Here, the given points are $(6,5)$ and $(4,4)$, therefore,

$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$
$=\sqrt{{(4-6)}^2+{(4-5)}^2}$
$=\sqrt{{(-2)}^2+{(-1)}^2}$
$=\sqrt{4+1}=\sqrt{5}$

Hence, the distance is $\sqrt{5}$ units.