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