Determine the coordinates where the graphs of the equations

Determine the coordinates where the graphs of the equations y=x2 and y=6x+(16) intersect.

y =x^2 ; y = 6x +16

x^2 = 6x +16

x^2 -6x -16

solve the quadratic:

x^2 -8x +2x -16 =0

x(x-8) +2(x -8) =0

(x +2)(x -8) =0

x = -2 , 8

y =x^2

x = -2 ; y = 4

x =8 ; y = 64

Solution : (x , y) = ( -2 , 4) and ( 8 , 64)