9. Polar Equations

In Exercises 79–80, convert each polar equation to a rectangular equation. Then determine the graph's slope and y-intercept.r sin (θ − π/4) = 2

In Exercises 81–82, find the rectangular coordinates of each pair of points. Then find the distance, in simplified radical form, between the points.(2, 2π/3) and (4, π/6)

In Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form.x⁶ − 1 = 0

In Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form.x⁴ + 16i = 0

In Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. _x³ − (1 + i√3 = 0

In calculus, it can be shown that e^(iθ) = cos θ + i sin θ.In Exercises 87–90, use this result to plot each complex number.e^(πi/4)

In calculus, it can be shown that e^(iθ) = cos θ + i sin θ.In Exercises 87–90, use this result to plot each complex number.-e^-πi