The graph of r=-5/2cos theta+sin theta is a line. Find the y-intercept of this line?

1 Answer
Jun 18, 2018

Assuming the equation is: r=-5/2costheta + sintheta.
then, the y-intercept is:
r=-5/2

Explanation:

It is not clear what is the original equation in the problem.
I interpret it to be: r=-5/2costheta + sintheta
However, this is sinusoidal curve, not a line, as described in the problem, so, perhaps I am misinterpreting the question.
Nevertheless, I will describe how to find the y-intercept.

The y-intercept of a function f(x) occurs when x=0

Then, in this problem, when theta=0:
r=-5/2cos0+sin0
r= -5/2+0

So, the curve will cross the y- axis at r=-5/2