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A line segment of length 5 has one endpoint at (1,2) and the other endpoint at (4,b). Find all possible values of b, separated by commas.

 Jun 29, 2022
 #1
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Using the equare of the distance formula

 

(4 -1)^2  + ( b - 2)^2  =  5^2

 

9 + (b -2)^2  = 25

 

(b -2)^2   =   25 - 9

 

(b - 2)^2 =  16      take  both roots

 

b  -  2 = 4                            or                        b -  2 =   -4

 

b =  6                                                                 b = -2

 

 

cool cool cool

 Jun 29, 2022

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