Question

Find the distance point between (-4,6) and (3,-7)

Answer 1

square root of 218

(-4-3)^2 + (6+7)^2

= 49+169

= 218

Ans = square root of 218

Answer 2

`√(218)` ≈ 14.8

Explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 4, 6) and (x₂, y₂ ) = (3, - 7)

d =
`√((3+4)^2+(-7-6)^2)`

=
`√(7^2+(-13)^2)`

=
`√(49+169)`

=
`√(218)` ≈ 14.8 ( to 1 dec. place )