Name the axis to which the major axis is parallel and find the center of

25(x+5)^(2)+4(y-3)^(2)=100

I think that the center is (-5,3). Is that correct?

I need help with finding out which axis the major axis is parallel to. I do not know how to do it.

8 answers

center is correct

25(x+5)^(2)+4(y-3)^(2)=100

(x+5)^2 / 4 + (y-3)^2 / 25 = 1

(x+5)^2 / 2^2 + (y-3)^2 / 5^2 = 1

which is bigger , 5 or 2 ?
to make that easier look at
x^2/2^2 + y^2/5^2
5^2 is bigger.
You got it.
now what is x when y = 0 and what is y when x = 0 in
x^2/2^2 + y^2/5^2 = 1

???????????????????????
all I did was move the center to the origin.
x=2 and y=5
x = + or - 2 along x axis
y = + or - 5 along y axis

now which is longer ? :)
Draw x and y axis system and mark those points, then draw an ellipse through them !