SOLUTION: Write and equation of the ellipse with vertices at (1,5) and (1,-1) and co-vertices at (0,2) and (2,2). How do i do this if there are two numbers instead of one in the points?

Question 741584: Write and equation of the ellipse with vertices at (1,5) and (1,-1) and co-vertices at (0,2) and (2,2). How do i do this if there are two numbers instead of one in the points?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Seeing how those pairs of points are arranged, the first pair shows you the major axis and the second pair shows you the minor axis. The major axis give you your "a", and you can see from plotting the two pair of points that you have a term, y^2/a^2, and that . Your term with the y is then .

Your minor axis is the shorter segment defined by the other pair of points, and length of minor axis is 2, meaning distance from center to either point is 1, so you have b=1.

Ellipse is
RELATED QUESTIONS
Write the equation of an ellipse with vertices at (7, 0) and (-7, 0) and co-vertices at... (answered by ewatrrr)

Write the equation of an ellipse with vertices at (7, 0) and (-7, 0) and co-vertices at... (answered by KMST)

Write an equation for an ellipse with vertices at (-2,-1) and (2,-7) and co-vertices at... (answered by lwsshak3)

Write an equation of the ellipse with foci (0,+2)|(0,-2) and co-vertices at... (answered by lwsshak3)

How do I write equation for each conic section: Circle with center at (0 ,-3) and the... (answered by lwsshak3)

Can someone show me how to do these two problems please? 1:Write an equation for the... (answered by lwsshak3)

write an equation of the ellipse with the vertices at (1,5) and (1,-1) and co-vertices at (answered by lwsshak3)

Find the center-radius form of an ellipse with vertices at (-2,-1) and (-2,7) and... (answered by ewatrrr)

Write the equation of the conic with the following characteristics. Vertices (1,2)(9,2) (answered by lwsshak3)