Question

Find the distance between (3, −2) and (2, −4).
The distance is
units.

Answer 1

d =
`√(5)` units

Explanation:

calculate the distance d using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

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

d =
`√((2-3)^2+(-4-(-2))^2)`

=
`√((-1)^2+(-4+2)^2)`

=
`√(1+(-2)^2)`

=
`√(1+4)`

=
`√(5)`

≈ 2.2 units ( to 1 decimal place )