Question

What is the distance between (-6, 4) and (-8, 6) ​

Answer 1

`\sqrt{ ( - 6 - 6) {}^(2) + (4 - ( - 8)) {}^(2) } \\ = 17.0`

Answer 2

2
`√(2)`

Explanation:

Calculate the distance d using the distance formula

d = √ ( x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 6, 4) and (x₂, y₂ ) = (- 8, 6)

d =
`√((-8+6)^2+(6-4)^2)`

=
`√((-2)^2+2^2)`

=
`√(4+4)` =
`√(8)` = 2
`√(2)` ← exact value