Find an equation equivalent to r = 6 sec e in rectangular coordinates and describe the graph of the equation.

Step-by-step explanation:

The usual relation between polar and rectangular coordinates is ...

   x = rcos(θ)

Using the relationship between cosine and secant, we can rewrite this as ...

  r = x/cos(θ) = x·sec(θ)

Matching this with your given equation, ...

  r = 6·sec(θ)

we see that ...

  x = 6

This is the equation of a vertical line.