Question #e7954 Precalculus Polar Coordinates Converting Equations from Polar to Rectangular 1 Answer Bdub Sep 12, 2017 see below Explanation: Use the formulas #x=rcos theta, y=r sin theta# and substitute into the given equation for x and y. That is, #x+5y=3# #rcos theta+5rsin theta =3# #rcos theta+5rsin theta -3 = 0# or #r(cos theta+5sin theta)=3# #r=3/(cos theta + 5 sin theta)# Answer link Related questions What is the polar equation of a horizontal line? What is the polar equation for #x^2+y^2=9#? How do I graph a polar equation? How do I find the polar equation for #y = 5#? What is a polar equation? How do I find the polar equation for #x^2+y^2=7y#? How do I convert the polar equation #r=10# to its Cartesian equivalent? How do I convert the polar equation #r=10 sin theta# to its Cartesian equivalent? How do you convert polar equations to rectangular equations? How do you convert #r=6cosθ# into a cartesian equation? See all questions in Converting Equations from Polar to Rectangular Impact of this question 1533 views around the world You can reuse this answer Creative Commons License