Question

n the coordinate plane, what is the length of the line segment that connects points at (4, −1) and (9, 7) ? Enter your answer in the box. Round to the nearest hundredth.

Answer 1

9.43 ( to the nearest hundredth )

To calculate the length (d) use the distance formula

d = √((x₂ - x₁ )² + (y₂ - y₁ )² )

with (x₁, y₁) = (4, - 1) and (x₂, y₂) = (9, 7 )

d = √((9 - 4 )² + (7 + 1 )² ) = √(25 + 64) = √89 ≈ 9.43