Question

Point p is (-1,6) and point d is (5,3) what is the length between them

Answer 1

length between them ≈ 6.7 units

Explanation:

calculate the length d between them using the distance formula

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

let (x₁, y₁ ) = (- 1, 6 ) and (x₂, y₂ ) = (5, 3 )

substitute these values into the formula for d

d =
`√((5-(-1))^2+(3-6)^2)`

=
`√((5+1)^2+(-3)^2)`

=
`√(6^2+9)`

=
`√(36+9)`

=
`√(45)`

≈ 6.7 units ( to the nearest tenth )