How do you write #3x-4y-10=0# in polar form? Trigonometry The Polar System Converting Between Systems 1 Answer sjc Nov 6, 2017 #r=10/(3costheta-4sintheta)# Explanation: we have the conversion eqns #r^2=x^2+y^2--(1)# #x=rcostheta--(2)# #y=rsintheta---(3)# we have #3x-4y-10=0# using #(2)" & "(3)# #3rcostheta-4rsintheta-10=0# #r(3costheta-4sintheta)=10# #r=10/(3costheta-4sintheta)# Answer link Related questions How do you convert rectangular coordinates to polar coordinates? When is it easier to use the polar form of an equation or a rectangular form of an equation? How do you write #r = 4 \cos \theta # into rectangular form? What is the rectangular form of #r = 3 \csc \theta #? What is the polar form of # x^2 + y^2 = 2x#? How do you convert #r \sin^2 \theta =3 \cos \theta# into rectangular form? How do you convert from 300 degrees to radians? How do you convert the polar equation #10 sin(θ)# to the rectangular form? How do you convert the rectangular equation to polar form x=4? How do you find the cartesian graph of #r cos(θ) = 9#? See all questions in Converting Between Systems Impact of this question 2028 views around the world You can reuse this answer Creative Commons License