Please help! In need of assistance!

Convert the rectangular equation to a polar equation. Express r in terms of θ.
5x+y=9
r=?

Question

Please help! In need of assistance!

Convert the rectangular equation to a polar equation. Express r in terms of θ.
5x+y=9
r=?

mathmale · Answer

Rectangular coordinate to Polar coordinate Conversion formulas:  x=r cos theta, y=r sin theta.  try substituting these for x and y in your original equation.

anonymous · Answer

so would that be 5(r cos  θ) + y(r cos θ) = 9 ?

mathmale · Answer

Yes.  Now solve your equation for r in terms of the angle, theta.

anonymous · Answer

Sorry, I meant sin for y not cos.

anonymous · Answer

And my final result that I got was 9 / (5 cos θ + 1 sin  θ).

mathmale · Answer

Glad you've realized that.

mathmale · Answer

Best to type that as an equation / formula:  Begin with "r="

anonymous · Answer

Yes. That's what I wrote as my final answer on my scrap paper while working out the problem. I just exempted the r = part when I was typing it on here.

anonymous · Answer

Thank you for your help BTW.

mathmale · Answer

My pleasure!