# How do you write an equation of an ellipse in standard form with centre at (-2,8) and a major axis (parallel to the x-axis) length of 12 units and a minor axis of 10 units?

##### 1 Answer

Sep 13, 2016

We know that the standard equation of an ellipse having coordinate of its center

#(x-alpha)^2/a^2+(y-beta)^2/b^2=1#

Inserting

we get the standard equation of the ellipse

#(x+2)^2/6^2+(y-8)^2/5^2=1#