A Conic Has Equation $17 x ^ { 2 } - 24 x y + 10 y ^ { 2 } + x - 15 = - 4 y$

Essay

A conic has equation $17 x ^ { 2 } - 24 x y + 10 y ^ { 2 } + x - 15 = - 4 y$ .
(a) Use the discriminant to identify the conic.
(a) by graphing the conic with a graphing calculator.
(b) Confirm your answer in part
(c) Find the angle necessary to eliminate the $x y$ - term.