Question

What is the exact distance from (−1, 4) to (6, −2)?

Answer 1

The exact distance is √(29) or 29^(1/2)

Explanation:

Find the answer using the distance formula (aka the Pythagorean theorem)

d=√(x1+x2)^2+(y1+y2)^2)

d=√(-1+6)^2+(4+-2)^2), Solve for d:

d= √((25)+(4))

d=√(29)

Answer 2

`√(35)`

Explanation:

To calculate the distance (d) use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)

d =
`√((6+1)^2+(-2-4)^2)`

=
`√(7^2+(-6)^2)`

=
`√(49+36)` =
`√(85)` ← exact value