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/(7sinØ + 36cosØ)

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 sinØ = y/r, cosØ = 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

## Answer This Question

## Related Questions

- calculus - for what value of r=4sinè have vertical tangent? In polar coordinates...
- Math - This question makes reference to an orthonormal basis (i,j), and an ...
- Calc - Find a cartesian equation for the curve described by the given polar ...
- Algebra (urgent!) - A line has the equation x = my + b for some real nonzero ...
- Algebra - True or False. If a line L1 has equation y = mx + b, where m and b are...
- Math - The line has equation y=2x+c and a curve has equation y=8-2x-x^2. 1) for ...
- algebra - If a line L1 has equation y = mx + b, where m and b are constants with...
- Calculus - a) Find a Cartesian equation relating and corresponding to the ...
- Calc 2 - Ok, I have two questions first: 1. I'm asked to find a cartesian ...
- Calculus AB - Sorry but I've got a lot of problems that I don't understand. 1) ...

More Related Questions