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25 votes
In the coordinate plane, what is the length of the line segment that connects points at (5, 4) and (−3, −1)?

Enter your answer in the box. Round to the nearest hundredth.

User Auser
by
7.9k points

2 Answers

6 votes
  • (5,4)
  • (-3,-1)

Distance:-

  • √(x2-x1)²+(y2-y1)²
  • √(-3-5)²+(-1-4)²
  • √(-8)²+(-5)²
  • √64+25
  • √89
  • 9.43
User JoGr
by
8.8k points
3 votes

Answer:

9.43 (nearest hundredth)

Explanation:


\textsf{let}\:(x_1,y_1)=(-3,-1)


\textsf{let}\:(x_2,y_2)=(5,4)

To find the length of the line segment that connects the two given points, we can use the distance formula.

Distance between two points formula


d=√((x_2-x_1)^2+(y_2-y_1)^2)

(where
(x_1,y_1) and
(x_2,y_2) are the two points and d is the distance)

Simply substitute the given points into the formula and solve for d:


\begin{aligned}\implies d &=√((5-(-3))^2+(4-(-1))^2)\\ & =√((8)^2+(5)^2)\\ & = √(64+25)\\ & = √(89)\\ & = 9.43\:\sf(nearest\:hundredth)\end{aligned}

User Matt Kellogg
by
7.9k points

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