what is an equation in standard form of an ellipse centered at the origin with vertex (-7,0) and co-vertex (0,5)?

Question

saylilbaby · Answer

@DanJS @dan815 @mathstudent55 @mathmale

mathmale · Answer

while not absolutely necessary, a sketch might help you.  I can tell that this ellipse is a horiz. one because that vertex (-7,0) is on the horiz. axis and |-7| is greater than |5|.

Where do you think the center of this elllipse lies?

What is the general equation for an ellipse with center at the origin?

saylilbaby · Answer

would u say x^2/49+y^2/25? @mathmale

mathmale · Answer

You're close.  But the equation of an ellipse is indeed an equation, whereas your result is only an expression.  Can you fix it?

saylilbaby · Answer

x^2/25+y^2/49=1 @mathmale