Question

Find the distance between the two points.​

Answer 1

`√(61)`

Explanation:

Calculate the distance d using the distance formula

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

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

d =
`√((4-(-2))^2+(1-(-4))^2)`

=
`√((4+2)^2+(1+4)^2)`

=
`√(6^2+5^2)`

=
`√(36+25)`

=
`√(61)`