Question

Find the distance between the pair of points below to the nearest tenth, if necessary (-2,3), (6,9)

Answer 1

We can find the distance between the points by means of the distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

where

`\begin{gathered} (x_1,y_1)=(-2,3) \\ (x_2,y_2)=(6,9) \end{gathered}`

By substituting these values into the distance formula, we have

`d=√((6-(-2))^2+(9-3)^2)`

which gives

`\begin{gathered} d=√((6+2)^2+6^2) \\ d=√(8^2+36) \\ d=√(64+36) \end{gathered}`

so we have

`\begin{gathered} d=√(100) \\ d=10 \end{gathered}`

Therefore, the distance between the two points is 10 units.