Question

Find a polar equation for the curve represented by the given cartesian equation:a) 2x−2y=3

Answer 1

The usual substitutions can be used:
x = r·cos(θ)
y = r·sin(θ)

These give
2r·cos(θ) -2r·sin(θ) = 3
Solving for r, we get the desired equation:
r = 3/(2·(cos(θ) - sin(θ)))