Find the y-intercept of the graph
x^2 - 10x + y^2 - 10y + 25 = -11 + 2y.
Write your answer as an ordered pair.
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)
