Question

CalculatorIn 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.units1 2 3 45 6 7 8

Answer 1

The formula to calculate the distance between two points is given by

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

In this problem, we have the coordinates

(4, -1) and (9, 7)

substitute in the formula

$\begin{gathered} d=\sqrt{(7+1)^2+(9-4)^2} \\ d=\sqrt{8^2+5^2} \\ d=\sqrt{89} \\ d=9.43 \end{gathered}$

The answer is 9.43 units