Question

Find the distance between the points (-2,6) and (-1,-3)

Answer 1

Answer:

$\sqrt{82}$

Step-by-step 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, 6) and (x₂, y₂ ) = (- 1, - 3)

d = $\sqrt{(-1+2)^2+(-3-6)^2}$

  = $\sqrt{1^2+(-9)^2}$

  = $\sqrt{1+81}$

  = $\sqrt{82}$ ≈ 9.06 ( to 2 dec. places )

Answer 2

Answer:

9.06

Step-by-step explanation:

(-2,6) and (-1,-3)

Distance =√(x2−x1)^2+(y2−y1)^2

√(−1−(−2))^2+(−3−6)^2

√(1)^2+(−3−6)^2

√(1)^2+(−9)^2

√1+81=

√82 ≈9.055385138137417