# How do I graph #9x^2+16y^2-36x+32y=92# algebraically?

##### 1 Answer

Oct 19, 2014

By grouping

by factoring out 9 and 16,

by adding and subtracting 4 and 1 in the parentheses,

by keeping the first three terms in each group,

by completing the squares and adding 36 and 16,

by dividing by 144,

Hence, we have an equation of an ellipse

which is 8 units wide, 6 units tall, and centered at

I hope that this was helpful.