Question

Find the length of the red line segment in the coordinate plane.

O √114
O √52
O 52
O26.5
O 25

Answer 1

`√(52)`

Explanation:

calculate the length using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (4, 1 ) ← endpoints of line

d =
`√((4-(-2))^2+(1-(-3))^2)`

=
`√((4+2)^2+(1+3)^2)`

=
`√(6^2+4^2)`

=
`√(36+16)`

=
`√(52)`