Question

Find the distance between the origin and the point $(-6,8)$

Answer 1

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

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

Since, the origin has the coordinates $(0,0)$, thus

The given points are $(0,0)$ and $(-6,8)$ and therefore,

$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}=\sqrt{{(-6-0)}^2+{(8-0)}^2}=\sqrt{{(-6)}^2+8^2}=\sqrt{36+64}=\sqrt{100}=\sqrt{{10}^2}=10$

Hence, the distance is $10$ units.