Question

Find the distance of (2,-3) and (4,5)

Answer 1

d ≈ 8.25

Explanation:

calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (2, - 3 ) and (x₂, y₂ ) = (4, 5 )

substitute these values into the formula for d

d =
`√((4-2)^2+(5-(-3))^2)`

=
`√(2^2+(5+3)^2)`

=
`√(4+8^2)`

=
`√(4+64)`

=
`√(68)`

≈ 8.25 ( to 2 decimal places )