Question

Graph the ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary. (1, 1), (3, 3)

Answer 1

Let's begin by identifying key information given to us:

`\begin{gathered} (x_1,y_1)=(1,1) \\ (x_2,y_2)=(3,3) \\ \\ \text{The distance between this point is calculated thus:} \\ d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt[]{(3-1)^2+(3-1)^2} \\ d=\sqrt[]{2^2+2^2}=\sqrt[]{4+4} \\ d=\sqrt[]{8}=2\cdot\sqrt[]{4}=2\sqrt[]{2} \\ d=2\sqrt[]{2} \end{gathered}`

Here is the graph attached below