Question

What is the distance between the points (3, 7) and (15, 16) on a coordinateplane?A. 13 unitsB. 21 unitsC. 17 unitsD. 15 units

Answer 1

The distance between two endpoints on a coordinate grid can be derived by the formula;

`\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ x_1=3,x_2=15,y_1=7,y_2=16 \\ d=\sqrt[]{(15-3)^2+(16-7)^2} \\ d=\sqrt[]{12^2+9^2} \\ d=\sqrt[]{144+81} \\ d=\sqrt[]{225} \\ d=15 \end{gathered}`

The correct answer is option D; 15 units