Question

Tom graphed the points A(2,-1) and B(3,4) on a coordinate plane.

Answer 1

AB =
`√(34)`

Explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(- 2, 1) and (x₂, y₂ ) = B(3, 4)

d =
`√((3+2)^2+(4-1)^2)`

=
`√(5^2+3^2)`

=
`√(25+9)`

=
`√(34)`