Question

What is the exact distance from (–1, 4) to (6, –2)? (4 points) units units units units

Answer 1

Answer:

$\sqrt{85}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

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

d = $\sqrt{(6+1)^2+(-2-4)^2}$

  = $\sqrt{7^2+(-6)^2}$

  = $\sqrt{49+36}$

  = $\sqrt{85}$ ← exact distance