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