Since you are given the point (-1, -1) just plug in and solve:
etc. etc.
My instructor writes this on our review sheet, "An ellipse with vertices (-7,2) and (1,2) passes through (-1,-1). Write the equation."
Since the vertices have y-coordinate 2, I know the major axis is horizontal. I use:
(x-h)^2 (y-k)^2
a^2 + b^2
So I find the center (-3,2)
I also find a= 4
So, how do I find b^2? My instructor did not provide the minor axis or "c."
So far I have:
(x+3)^2 + (y-2)^2 Thank You, Kay
16 b^2