Question

Find the length of the line segment shown. Round your answer to the nearest tenth.

Answer 1

`d=10`

Explanation:

Distance Formula:
`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Step 1: Define endpoint coordinates

(2, 5)

(-6, -1)

Step 2: Substitute and Evaluate

`d=√((-6-2)^2+(-1-5)^2)`

`d=√((-8)^2+(-6)^2)`

`d=√(64+36)`

`d=√(100)`

`d=10`