Question

Question 4 (3 points)

In the coordinate plane, what is the length of the line segment that connects points
at (0,-1) and (-7, -2)?
Enter your answer to the nearest hundredth.
Hint: No points will be awarded unless it is to the nearest hundreth. An example is
3.04.
​

Answer 1

≈ 7.07

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 =
`√((-7-0)^2+(-2+1)^2)`

=
`√((-7)^2+(-1)^2)`

=
`√(49+1)`

=
`√(50)` ≈ 7.07 ( to the nearest hundredth )