Question

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

Answer 1

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`