Question

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

Answer 1

c.53

Explanation:

i took the test

Answer 2

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.