What is the length of segment XY? On a coordinate plane, line X Y has points (negative 4, 0) and (3, 2). 4.5 units StartRoot 45 EndRoot units StartRoot 53 EndRoot units 9 units<…

Question

asked Apr 5, 2021 21.2k views

2 Answers

Muhd · Answer 1 · 2021-04-11T01:45:36+0000

Answer:

StartRoot 53 EndRoot units

XY = √53

Explanation:

Choose which is point 1 and point 2 so you don't confuse the coordinates.

Point 1 (–4, 0) x₁ = –4 y₁ = 0

Point 2 (3, 2) x₂ = 3 y₂ = 2

Use the formula for the distance between two points.

$L = \sqrt{(x_(2)-x_(1))^(2) + (y_(2)-y_(1))^(2)}$

$XY = \sqrt{(3-(-4))^(2) + (2-0)^(2)}$

XY = √(49 + 4)

XY = √(53)

Therefore the line of segment XY is √53.