Question

What is the distance between (-6, 4) and (-8, 6) ​

Answer 1

Answer:

2$\sqrt{2}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ ( x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 6, 4) and (x₂, y₂ ) = (- 8, 6)

d = $\sqrt{(-8+6)^2+(6-4)^2}$

  = $\sqrt{(-2)^2+2^2}$

  = $\sqrt{4+4}$ = $\sqrt{8}$ = 2$\sqrt{2}$ ← exact value

Answer 2

$\sqrt{ ( - 6 - 6) {}^{2} + (4 - ( - 8)) {}^{2} } \\ = 17.0$