Question

Calculate the distance between the points L=(-7, 7) and N=(-1, 2) in the coordinate plane.Give an exact answer

Answer 1

The given points are L(-7,7), and N(-1,2)

We have to use the distance formula

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

Replacing the given points, we have

$\begin{gathered} d_{LN}=\sqrt{(2-7)^2+(-1-(-7))^2} \\ d_{LN}=\sqrt{(-5)^2+(-6)^2}=\sqrt{25+36}=\sqrt{61} \\ d_{LN}\approx7.8 \end{gathered}$

Therefore, the distance is 7.8, approximately.

However, an exact answer would be "the distance is the square root of 61".