Question

The coordinates of the point Q are (-10, – 7) and the coordinates of point Rare(2, – 7). What is the distance, in units, between the point Q and point R?

Answer 1

The distance between two points (a,b) and (c,d) is given by the formula,

$d=\sqrt[]{(c-a)^2+(d-b)^2}$

Here a = -10, b=-7, c=2, d = -7

Hence, the distance is given by

$\begin{gathered} d=\sqrt[]{(2+10)^2+(-7+7)^2} \\ =\sqrt[]{12^2} \\ =12 \end{gathered}$

Hence the distance is 12.