Hello

I'm stuck on this question Word for word from the text

"A.) decide whether the equation

represents a parabola an elipse or a hyberbola

b.) show that the graph of the equation in part A is the line

my problem is that I cannot find the angle, in all the othe questions the angle worked out to be a special triangle but in this one I have tried applying but I get an angle of 1/3

any help would be appreciated