Question

Find the distance between the points (-2, 4) and (4, -6).
0 212
2/(10)
O2V(34)

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))` =
`√(4)` ×
`√(34)` = 2
`√(34)`