Posted by **Audrey** on Monday, December 13, 2010 at 11:13pm.

A curve with polar equation

r=(8)/7sinx + 36cosx

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 2x+3 .

- Trig -
**Reiny**, Monday, December 13, 2010 at 11:30pm
you must mean r = 8/(7sinŲ + 36cosŲ)

It would be very confusing to have x as an angle and then use it in the linear function

Also I tried your equation the way you typed it and got nowhere.

conversion: r^2 = x^2 + y^2, and sinŲ = y/r, cosŲ = x/r

r = 8/((7y/x) + 36x/r))

r = 8r/(7y + 36x)

1 = 8/(7y + 36x)

36x + 7y = 8 is the linear equation

- Trig -
**Audrey**, Monday, December 13, 2010 at 11:40pm
How do you convert 36x + 7y = 8 into y=mx+b format?

- Trig -
**Reiny**, Monday, December 13, 2010 at 11:42pm
that is the easy part ....

36x + 7y = 8

7y = -36x + 8

y = (-36/7)x + 8/7

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