Question

In the cordinate plane what is the length of the line segment that connects points at (0, -1) and (-7, -2) ? Enter your answer in the box. Round to the nearest hundredth.

Answer 1

Answer:

≈ 7.07

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (- 7, - 2)

d = $\sqrt{(-7-0)^2+(-2+1)^2}$

  = $\sqrt{(-7)^2+(-1)^2}$

  = $\sqrt{49+1}$ = $\sqrt{50}$ ≈ 7.07