Chapter 13 - Cumulative Review - Page 969: 28

$(0,6)$, $(-6,0)$

$x^2+y^2=36$ $y=x+6$ $x^2+y^2=36$ $x^2+(x+6)^2=36$ $x^2+(x+6)(x+6)=36$ $x^2+x^2+6x+6x+36=36$ $2x^2+12x+36=36$ $2x^2+12x+36-36=36-36$ $2x^2+12x=0$ $2x(x+6)=0$ $2x=0$ $2x/2=0/2$ $x=0$ $x+6=0$ $x+6-6=0-6$ $x=-6$ $y=x+6$ $x=0$ $y=x+6$ $y=0+6$ $y=6$ $x=-6$ $y=x+6$ $y=-6+6$ $y=0$