Question

What is the distance between (-6, 4)(−6,4)left parenthesis, minus, 6, comma, 4, right parenthesis and (-8, 6)(−8,6)left parenthesis, minus, 8, comma, 6, right parenthesis?.

Answer 1

d ≈ 2.83 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 ) = (- 6, 4 ) and (x₂, y₂ ) = (- 8, 6 )

substitute these values into the formula for d

d =
`√((-8-(-6))^2+(6-4)^2)`

=
`√((-8+6)^2+2^2)`

=
`√((-2)^2+4)`

=
`√(4+4)`

=
`√(8)`

≈ 2.83 units ( to 2 decimal places )