[tex] Any \ point \ on \ the \ y axis \ can \ be \ stated \ as \ C(0,y) \\ \\ Distance \ Formula:\\\\
Given \ the \ two \ points \ (x _{1}, y _{1}) and (x _{2}, y _{2}), \\ \\the \ distance \ between \ these \ points \ is \ given \ by \ the \ formula: \\ \\ d= \sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2} \\ \\CA= \sqrt{(-2-0)^2 +(-3-y)^2}=\sqrt{(-2 )^2 +(-3-y)^2}=\sqrt{4 +9+6y+y^2 }=\\\\-\sqrt{ y^2+6y+13 }
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[tex]CB= \sqrt{(1-y)^2 +(6-0)^2} =\sqrt{ 1-2y +y^2 +36} =\sqrt{ y^2-2y +37} \\ \\CA = CB \\ \\\sqrt{ y^2+6y+13 } =\sqrt{ y^2-2y +37} \ \ |^2\\\\ y^2+6y+13 = y^2-2y +37 \\ \\y^2+6y- y^2+2y =37-13\\ \\8y = 24 \ \ / :8 \\ \\y= 3 \\ \\C=(0,3)[/tex]
