Question

Find the distance between the points (0, – 1) and ( – 3, – 5)

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 }`

let (x₁, y₁ ) = (0, - 1 ) and (x₂, y₂ ) = (- 3, - 5 )

substitute these values into the formula for d

d =
`√((-3-0)^2+(-5-(-1))^2)`

=
`√((-3)^2+(-5+1)^2)`

=
`√(9+(-4)^2)`

=
`√(9+16)`

=
`√(25)`

= 5 units