Math
posted by Ajay .
Write the standard equation of the ellipse with the given characteristics
vertices:(8,1)(0,1) (4,7) (4,5)
center:(4,1)

I think you have a typo
the centre (4,1) must be the midpoint for both axes
it works for (8,1 and (0,1) with 2a = 8 > a = 4
but (4,1) is NOT the midpoint of (4,7 and (4,5)
the y values are incorrect
once you have them corrected,
2b = the difference in the y values, b = half of that
then after you have found b, replace it in
(x+4)^2 /4 + (y1)^2 /b^2 = 1 
i'M NOT SURE HOW TO FIND b CAN YOU SHOW ME PLEASE!

Ajay,
Did you not read what I said about the typo?
The way it is you cannot do the question.
Find the error and I can continue helping you.