Answer:
[tex]\dfrac{x^2}{49}+\dfrac{y^2}{25}=1.[/tex]
Step-by-step explanation:
The equation of the ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1.[/tex]
If the vertex of the ellipse is at point (-7,0), then a=7.
If the co-vertex of the elllipse is at point (0,-5), then b=5.
The equation of the ellipse is
[tex]\dfrac{x^2}{7^2}+\dfrac{y^2}{5^2}=1,[/tex]
[tex]\dfrac{x^2}{49}+\dfrac{y^2}{25}=1.[/tex]
