parametric equation

Question

Find parametric equations for the curve y=x+1, x≥ 0, by using as parameter the distance of the point (x,y) from the origin.

Answer 1

polar has r^2 = x^2 +y^2

x = rsinT, y = rcosT

so y = x+1 becomes

rcosT = rsinT +1 where r = distance from origin to the point on the line