Question

Calculate the distance between the points P=(-1, -1) and L=(6, -9) in the coordinate plane.

Answer 1

Answer:

≈ 10.63

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 ) = P(- 1, - 1) and (x₂, y₂ ) = L(6, - 9)

d = $\sqrt{(6-(-1))^2+(-9-(-1))^2}$

   = $\sqrt{(6+1)^2+(-9+1)^2}$

   = $\sqrt{7^2+(-8)^2}$

   = $\sqrt{49+64}$

   = $\sqrt{113}$ ≈ 10.63 ( to the nearest hundredth )