Question

Multiply both sides of the following equation by r, and use the fact that r^2=x^2 + y^2 to rewrite the equation in terms of x and y.
r=-6sinø

Answer 1

multiply both sides by r

keep in mind that y = r*sin(theta)

Answer 2

r=-6sin(theta)

r*r=r*(-6sin(theta))

r^2=-6*(rsin(theta))

I'll let you finish

Answer 3

So r^2 = -6y
r= √-6y?

Answer 4

no

Answer 5

use r^2 = x^2 + y^2 and r*sin(theta) = y

Answer 6

Ah.
-6y=x^2 + y^2
y=x^2 + y^2/-6

Answer 7

-6y=x^2 + y^2 is correct

try to convert it into the form (x-h)^2 + (y-k)^2 = r^2