Question

How many units are (-2,-3) & (5,7) from each other on the coordinate plane

Answer 1

Let's begin by listing out the information given to us:

(x, y) = (-2, -3), (5, 7)

The distance between the two points is given by:

`\begin{gathered} d=\sqrt[]{\mleft(\mleft(x_2-x_1\mright)^2+\mleft(y_2-y_1\mright)^2\mright)} \\ d=\sqrt[]{(5--2)^2+(7--3)^2} \\ d=\sqrt[]{7^2+10^2} \\ d=\sqrt[]{49+100} \\ d=12.207\approx12.21 \\ d=12.21 \end{gathered}`