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Find the y-intercept of the graph

x^2 - 10x + y^2 - 10y + 25 = -11 + 2y.

 

Write your answer as an ordered pair.

 Jul 25, 2021
 #1
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The y intercept  occurs  where  x  = 0

 

So........we actually have

 

y^2  - 10y  + 25  = -11  + 2y         rearrange  as

 

y^2  - 12y  +  36   = 0     factor as 

 

(y  -6) ( y - 6)  = 0

 

(y - 6)^2   = 0

 

y - 6 =  0

 

y  =  6     = the y intercept  =      (0, 6)

 

 

cool cool cool

 Jul 25, 2021

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