277,228 views
14 votes
14 votes
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.

User Misha Akovantsev
by
2.9k points

1 Answer

17 votes
17 votes

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}

User Mohan Mahajan
by
3.2k points