Question

find the y-intercepts for the ellipse (x^2 / 4) + (y^2 / 9)

Answer 1

if that equation equals 1, then
for an ellipse of the form
\[\large\frac{x^2} {a^2} + \frac{y^2}{b^2}=1\]

the y intercepts are
\[+\sqrt{b}\] and \[-\sqrt{b}\]

Answer 2

so then it would just be the sqrt of 9??

Answer 3

both "+" and "-" of sqrt9. since the ellipse cits the Y-axis at two points.

And also, if the question asks specifically for the length of the intercept, then fond the distance between the intersection points.

Answer 4

okay i get that now..