Consider the System of Equations $3 x^{2}+y^{2}=12$ $2 x+2 y=-4$ (A) What Type of Graph Does Each Equation Have?
(B)

Essay

Consider the system of equations
$3 x^{2}+y^{2}=12$
$2 x+2 y=-4$
(a) What type of graph does each equation have?
(b) How many points of intersection are possible for these types of graphs?
(c) Solve the system.
(d) Support the solutions using a graphing calculator.