Question

In 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

square root of 89= 9.43398113 rounded to the nearest hundredth is 9.43 :)

Answer 2

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

In this problem we have

$A(4,-1)\\B(9,7$  

substitute the values

$d=\sqrt{(7+1)^{2}+(9-4)^{2}}$

$d=\sqrt{(8)^{2}+(5)^{2}}$

$d=\sqrt{89}\ units$

$d=9.43\ units$

therefore

the answer is

$9.43\ units$