Question

Find the distance between the points (-2,4) and (4,-6)

Answer 1

2
`√(34)`

Explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)

d =
`√((4+2)^2+(-6-4)^2)`

=
`√(6^2+(-10)^2\\)`

=
`√(36+100)`

=
`√(136)`

=
`√(4(34))` = 2
`√(34)` ≈ 23.32 ( to 2 dec. places )