Question

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

Round your answer to the nearest hundredth.
10-1
6
4-
2
Distance:
5
-105
-6
4
.
2
4
8 10
-6
.
2

Answer 1

≈ 10.63

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 =
`√((6-(-1))^2+(-9-(-1))^2)`

=
`√((6+1)^2+(-9+1)^2)`

=
`√(7^2+(-8)^2)`

=
`√(49+64)`

=
`√(113)` ≈ 10.63 ( to the nearest hundredth )