What is ((x+5)^2)/(25)+((y+1)^2)/(36)=1 ?

The solution to ((x+5)^2)/(25)+((y+1)^2)/(36)=1 is Ellipse with (h,k)=(-5,-1),a=5,b=6

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((x+5)^2)/(25)+((y+1)^2)/(36)=1

\frac{( x + 5 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{36} = 1

(h, k) = (- 5, - 1), a = 5, b = 6

Solution steps

\frac{( x + 5 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{36} = 1

Rewrite

\frac{( x + 5 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{36} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 5 ) ) ^{2}}{5 ^{2}} + \frac{( y - ( - 1 ) ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 5, - 1), a = 5, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 5, - 1), b = 6, a = 5

What is ((x+5)^2)/(25)+((y+1)^2)/(36)=1 ?
The solution to ((x+5)^2)/(25)+((y+1)^2)/(36)=1 is Ellipse with (h,k)=(-5,-1),a=5,b=6