Verified answer

r = 5; θ = -arctan(3/4)

r = sqrt(x°2+y°2)

r = sqrt( 4°2 + (-3)°2 ) = sqrt(16+9)= sqrt(25) = 5

θ = tan°-1(-3/4) =-36.87° = 360-36.87 = 323.13°

(r, θ) = (5, 323.13°)

r = 5

θ = 5.64

To the right 4, down 3. Length 5. Angle arctan(-3/4). Done.