Question

Calculate the distance between the points G=(-2,-6) and N=(-9, 2) in the coordinate plane.Give an exact answer (not a decimal approximation).

Answer 1

To find the diatance between two points you use the next formula:

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

For the given two points:

$\begin{gathered} d=\sqrt[]{(-9-(-2))^2+(2-(-6))^2} \\ \\ d=\sqrt[]{(-7)^2+8^2} \\ \\ d=\sqrt[]{49+64} \\ \\ d=\sqrt[]{113} \end{gathered}$

Then, the distance between points G and N is the square root of 113