Question

PLEASE HELP step by step

Answer 1

The length of the line segment is 10 units.

Explanation:

Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).

The distance between two points, d =
`$ √((x_1 - x_2)^2 + (y_1 - y_2)^2) } $`

Here,
`$ (x_1, y_1) = (2, -3) $` and

`$ (x_2, y_2) = (8, 5) $`

Therefore, distance, d =
`$ \sqrt{(8 - 2)^2 + (5 - (-3))^2 $`

`$ = √(6^2 + 8^2) $`

`$ = √(36 + 64) $`

`$ = √(100) $`

= 10 units.

Hence, the answer.