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What is the y-coordinate of the point on the y-axis that is equidistant from points A( -2, 0) and B(-1,4)?

 Jul 25, 2020
 #1
avatar+25866 
+2

Since the point is on the y-axis , the x value will be ZERO    so the point will be   0,y

 

Using the distance formula

   (-2)^2 + y^2      =     (-1)^2 + (4-y)^2

     4    + y^2        =       1      + 16 + y^2 -8y

                 8y       =        13

                    y = 13/8

 Jul 25, 2020
 #2
avatar+60 
0

Thank you so much!!

Sub2JessieGamez  Jul 25, 2020
 #3
avatar+25866 
0

You're welcome !   cheeky

ElectricPavlov  Jul 25, 2020

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