Question

The graph below shows a line segment with endpoints (7, 8) and (3, 2). Find the distance between the two points. Round your answer to the nearest tenth.

Answer 1

7.2

1) To find out the distance between them, we'll make use of the distance formula (derived from the Pythagorean Theorem)

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

2) Plugging into that the given points (7, 8) and (3, 2):

`\begin{gathered} d_{}=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d_{}=\sqrt[]{(3-7)^2+(2-8)^2} \\ d=2\sqrt[]{13}\approx7.2 \end{gathered}`

Note that we've rounded off to the nearest tenth

3) Hence, the answer is 7.2