Question

How do you convert `y=4x-7` into polar form?

Answer 1

`y=4x-7` is equivalent to `color(red)(r=7/(4*cos theta-sin theta))`

Explanation:

We start with the given equation `y=4x-7`

We should know that equivalent of `x`

`x=r cos theta`

We should also know that equivalent of `y`

`y=r sin theta`

`y=4x-7`

`r sin theta=4(r cos theta)-7`

`r sin theta-4*r cos theta=-7`

`r(sin theta-4*cos theta)=-7`

`r=(-7)/(sin theta-4*cos theta)`

`r=7/(4*cos theta-sin theta)`

Kindly see the graph of `r=7/(4*cos theta-sin theta)`

God bless....I hope the explanation is useful.