Question

Segment AB has endpoints A(-1,3) and B(0,7). What is the length of AB?

Answer 1

`√(17)`

Explanation:

Calculate the length (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (0, 7)

d =
`√((0+1)^2+(7-3)^2)`

=
`√(1^2+4^2)`

=
`√(1+16)`

=
`√(17)` ≈ 4.1 ( to 1 dec. place )