A curve with polar equation
r=41/(7sin(theta)+43cos(theta)(
represents a line. This line has a Cartesian equation of the form
y = mx + b ,where m and b are constants. Give the formula
for y in terms of x. For example, if the line had equation
y = 2x+3 then the answer would be 2*x + 3 .

Question

A curve with polar equation
r=41/(7sin(theta)+43cos(theta)(
represents a line. This line has a Cartesian equation of the form
y = mx + b ,where m and b are constants. Give the formula
for y in terms of x. For example, if the line had equation
y = 2x+3 then the answer would be 2*x + 3 .

amistre64 · Answer

work the math .... multiply each side by the denominator; distribute the r thru;  and redifine the parts by:

x = r cos
y = r sin

amistre64 · Answer

r = k/(b sin + a cos)

r(b sin + a cos) = k

b r sin + a r cos = k

by + ax = k

etc ...