SOLUTION: Convert the equation given in rectangular form into polar form: 6x-7y=5

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Question 1103123: Convert the equation given in rectangular form into polar form:
6x-7y=5
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52908)   (Show Source): You can put this solution on YOUR website!
.
In polar coordinates,  x = ,  y = .


So, in polar coordinates the given equation takes the form


 = 5,   or


 = 5,   or


r = .



Answer by greenestamps(13215)   (Show Source): You can put this solution on YOUR website!


This is pretty straightforward, using the basic rules for converting between polar and rectangular: x = r*cos(t), y = r*sin(t)>

Substitute those polar expressions for x and y, then solve for r:





It looks strange, when you first start learning about polar coordinates, because the equation of a straight line in rectangular coordinates is so simple.

But yes, that is what the equation of a straight line looks like in polar coordinates.
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