Question

Point Q is located at (-4,6) point r is located at (8,6). WHAT IS THE DISTANCE FROM POINT Q TO POINT R?

Answer 1

For this exercise you need to use the formula for calculate the distance between two points:

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

In this case you know that the points are:

`\begin{gathered} Q\mleft(-4,6\mright) \\ R(8,6) \end{gathered}`

So you can set up that:

`\begin{gathered} x_2=-4 \\ x_1=8 \\ y_2=6 \\ y_1=6 \end{gathered}`

Substitute the corresponding coordinates into the formula and then evaluate, in order to find the distance from point Q to point R:

`\begin{gathered} d_((QR))=\sqrt[]{(-4-8)^2+(6-6)^2} \\ d_((QR))=\sqrt[]{(-12)^2+(0)^2} \\ d_((QR))=\sqrt[]{144} \\ d_((QR))=12 \end{gathered}`

The answer is;

`d_((QR))=12`