Question

5. Determine the length of the segment with the given endpoints: Y(-2, 6) and Z(5,-8).

Answer 1

The length of the segment is 15.65.

Explanation:

The Distance Formula for a line is
`\sqrt{(x2 - x1)^(2)  + (y2 - y1)^(2) }`

To find the distance of a segment or line, we just plug in our coordinates.

`\sqrt{(5 - -2)^(2)  + (-8 - 6)^(2) }` | Now we solve.

`\sqrt{7^(2)  + -14^(2) }`

`√(49 + 196)`

`√(245)`

15.65