Question

A curve with polar equation r=6/(5sinθ+41cosθ) represents a line. This line has a Cartesian equation of form y=mx+b,?

Answer 1

Step 1:

The polar equation is .

Polar to Cartesian form:

The polar points  are related to Cartesian coordinates then .

Consider .

Re-write the equation.

The above equation is in the form of slope-intercept of line equation in Cartesian coordinates, where and .

Solutions:

and .