Question

PLEASE HELP step by step

Answer 1

Answer:

The length of the line segment is 10 units.

Step-by-step explanation:

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

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

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

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

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

$= \sqrt{6^2 + 8^2}$

$= \sqrt{36 + 64}$

$= \sqrt{100}$

= 10 units.

Hence, the answer.