# How do you write the Ellipse equation given vertex at (-5,0) and co vertex at (0,4)?

${\left(x - 0\right)}^{2} / 25 + {\left(y - 0\right)}^{2} / 16 = 1$

ALSO ${x}^{2} / 25 + {y}^{2} / 16 = 1$

#### Explanation:

From the given Vertex$\left(- 5 , 0\right)$ and Co-vertex $\left(0 , 4\right)$

this means Center $\left(h , k\right) = \left(0 , 0\right)$ and
$a = 5$ and $b = 4$

The standard form of the ellipse with horizontal major axis is

${\left(x - h\right)}^{2} / {a}^{2} + {\left(y - k\right)}^{2} / {b}^{2} = 1$

${\left(x - 0\right)}^{2} / {5}^{2} + {\left(y - 0\right)}^{2} / {4}^{2} = 1$

have a nice day !!! from the Philippines...