Answer
$x^2+\frac{y^2}{100}=1$
Work Step by Step
Major axis is vertical.
$(0,±10)=(0,±a)$
$a=10$
$2b=2$
$b=1$
Standard form when major axis is vertical:
$\frac{x^2}{b^2}+\frac{y^2}{a^2}=1$
$\frac{x^2}{1^2}+\frac{y^2}{10^2}=1$
$x^2+\frac{y^2}{100}=1$