Question

Find the distance between the points -5,7 ; -1,3​

Answer 1

4
`√(2)` 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 ) = (- 5, 7) and (x₂, y₂ ) = (- 1, 3)

d =
`√((-1+5)^2+(3-7)^2)`

=
`√(4^2+(-4)^2)`

=
`√(16+16)`

=
`√(32)`

= 4
`√(2)` ≈ 5.66 ( to 2 decimal places )

Answer 2

2, 4

Explanation:

equation (x -2, y -4)