jazmionanderson
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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.

Respuesta :

Abu99
To find the length of a line between two points with known x- and y- coordinates, use:
sqrt((change in x)^2 + (change in y)^2),
which I know may look confusing but it isn't really:

sqrt((5 - -3)^2 + (4 - -1)^2)
= sqrt(8^2 + 5^2)
= sqrt(64 + 25)
= sqrt(89)

Answer is 9.43

Length of line segment joining two points :

Let (x₁, y₁) and (x₂, y₂) be the Cartesian co-ordinates of the points P and Q respectively.

So, The length of the line PQ = [tex]\sqrt{(x_{1} - x_{2} )^{2} + (y_{1} - y_{2} )^{2}}[/tex]

Here, (Given)

x₁ = 5 , y₁ = 4 and x₂ = -3 ,  y₂ = -1

Length of line joining these two points = [tex]\sqrt{(5 - (-3) )^{2} + (4 - (-1))^{2}}[/tex]

=> [tex]\sqrt{(8)^{2} + (5)^{2}}[/tex]

=> [tex]\sqrt{64 + 25}[/tex]

=> 9.433

=> 9.43  (Rounded to nearest hundredth).

Learn more about Length of line joining two points here: https://brainly.com/question/19580061?referrer=searchResults

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