Find the standard form of the equation of the ellipse satisfying the following conditions. Major axis vertical with length 14​; length of minor axisequals10​; ​center: ​(negative 7​,3​)

Answer:The answer to your question is belowStep-by-step explanation:Data Mayor axis vertical = 14Minor axis = 10Center = (-7, 3)FormulaMayor axis = 2aMinor axis = 2b[tex]\frac{(x-h)^{2} }{b^{2} }  + \frac{(y - k)^{2} }{a^{2} }  = 1[/tex]Process                 2a = 14                             2b = 10                   a = 7                               b = 5                    h = -7     k = 3Substitution[tex]\frac{(x+7)^{2} }{5^{2} }  + \frac{(y - 3)^{2} }{7^{2} }  = 1[/tex]