Question

How do you convert `-2x + 6y = 7` to polar form?

Answer 1

`r=7/(6sintheta-2costheta)`

Explanation:

To convert from `color(blue)"cartesian to polar form"`

`color(orange)"Reminder"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(x=rcostheta,y=rsintheta)color(white)(a/a)|)))`

Substituting into cartesian equation

`rArr-2(rcostheta)+6(rsintheta)=7`

`rArr-2rcostheta+6rsintheta=7`

`rArrr(6sintheta-2costheta)=7`

`rArrr=7/(6sintheta-2costheta)" is the polar form"`