Question

Two points are located on a four quadrant graph. The distance between the two is currently unknown. How many units separate the coordinates ( -5, 8 ) and ( 2, -2 )

Answer 1

The distance between two points is given by the following expression,

$c=\sqrt[]{(x_a-x_b)^2+\mleft(y_a-y_b\mright)^2}$

Being (Xa,Ya) and (Xb,Yb) the two pair of coordinates. c is the distance between them.

$\begin{gathered} c=\sqrt[]{(-5-2)^2+(8-(-2))^2} \\ c=\sqrt[]{49+100} \\ c=\sqrt[]{149} \\ c=12.20\text{ units} \end{gathered}$

Answer: 12.20 units separate the coordinates.