Question

The length of the line segment connecting (4,1) and (7,-5) is

Answer 1

3
`√(5)`

Explanation:

Calculate the length (d) using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (7, - 5)

d =
`√((7-4)^2+(-5-1)^2)`

=
`√(3^2+(-6)^2)`

=
`√(9+36)`

=
`√(45)`

=
`√(9(5))`

= 3
`√(5)` ≈ 6.71 ( to 2 dec. places )