Question 39159
{{{16x^2+25y^2+64x-250y+289=0}}}
{{{16x^2+64x+25y^2-250y=-289}}}
{{{16(x^2+4x)+25(y^2-10y)=-289}}}
{{{16(x+2)^2+25(y-5)^2=400}}}
{{{(16(x+2)^2/400)+(25(y-5)^2/400)=400/400}}}
{{{((x+2)^2/25)+((y-5)^2/16)=1}}}
This is an ellipse with a center at (-2,5). It has a horizontal major axis. The major axis is ten units long while the minor axis is eight units long. I am sorry .... i do not know how to graph this via programs available to this web site.