Question

The points (-3, 7) and (5, 1) are plotted on a coordinate plane.What is the distance between the two points? Enter the answer in the box.

Answer 1

The formula for the distance between two points

`\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \end{gathered}`

Applying to points

`\begin{gathered} d=\sqrt[]{(5-(-3))^2+(1-7)^2} \\ d=\sqrt[]{(8^2)+(-6)^2} \\ d=\sqrt[]{64+36} \\ d=\sqrt[]{100} \\ d=10 \end{gathered}`