What is the name of the shape graphed by the function theta= 5pi/3
(a) limacon with inner loop
(b) spiral
(c)circle
(d) line

Option d) line

Step-by-step explanation:

Given that a function is graphed.

The function is

Since r is not given we can take r as any measure from 0 to infinity.

Since angle is constant the slope is constant for this funciton which implies the graph has to be a straight line.

Of all the given options, only a straight line has the option of having constant slope throughout its domain.

Hence option d is right.

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5