What is y+2=((6-((6y+2x)/(2+y)))/2)x ?

The solution to y+2=((6-((6y+2x)/(2+y)))/2)x is Ellipse with (h,k)=(3,-2),a=3,b=3

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y+2=((6-((6y+2x)/(2+y)))/2)x

y + 2 = \frac{6 - ( \frac{6 y + 2 x}{2 + y} )}{2} x

(h, k) = (3, - 2), a = 3, b = 3

Solution steps

y + 2 = \frac{6 - \frac{6 y + 2 x}{2 + y}}{2} x

Rewrite

y + 2 - \frac{6 - \frac{6 y + 2 x}{2 + y}}{2} x = 0

in the form of the standard ellipse equation

\frac{( x - 3 ) ^{2}}{3 ^{2}} + \frac{( y - ( - 2 ) ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, - 2), a = 3, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (3, - 2), b = 3, a = 3

42 x^{2} + 49 y^{2} = 4

\frac{x ^{2}}{C 1 ^{2}} = 1 - \frac{y ^{2}}{C 2 ^{2}}

\frac{( x - 1 ) ^{2}}{169} + \frac{( y - 4 ) ^{2}}{144} = 1

9 x^{2} + 25 y^{2} - 18 x - 50 y - 191 = 0

3 x^{2} + 3 y^{2} - 6 y = 0

What is y+2=((6-((6y+2x)/(2+y)))/2)x ?
The solution to y+2=((6-((6y+2x)/(2+y)))/2)x is Ellipse with (h,k)=(3,-2),a=3,b=3