Question

What is the distance between the points A(-5, 3) and B(4, -1)? *

Answer 1

`√(97)` units

Explanation:

Calculate the distance using the distance formula

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

with (x₁, y₁ ) = A(- 5, 3) and (x₂, y₂ ) = B(4, - 1)

d=
`√((4+5)^2+(-1-3)^2)`

=
`√(9^2+(-4)^2)`

=
`√(81+16)`

=
`√(97)` ≈ 9.85 ( to 2 dec. places )