1. The problem statement, all variables and given/known data Suppose that c is a member of the Real numbers, and p is a member of the Complex numbers with p not equal to 0, are given numbers. (a) Show that pz + conjugate(pz) + c = 0 is the equation of a straight line in the plane. Provide a carefully-drawn plot that illustrates your solution for a few given values of the constants c and p. 2. Relevant equations z is a complex number (i.e. x+iy) 3. The attempt at a solution a) After simplifying the conjugates: px +ipy + px - ipy + c = 0 After collecting like terms: 2px + c = 0 Solving for x: x = -0.5(c/p) Now, I don't understand how the graph would look like. Would it be a vertical line on the real vs imaginary axes? Thank you.