Question 421977
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Hi
 Standard Form of an Equation of an Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}}
where Pt(h,k) is the center and a and b  are the respective distances the vertices are from center.

ellipse with center (–5, –2)and 
"horizontal major axis" of length 6, and minor axis of length 4
{{{(x+5)^2/9 + (y+2)^2/4=1}}} 
{{{drawing(300,300,   -10,10,-10,10,  arc(-5,-2,6,4), grid(1),
circle(-5, -2,0.4),
line(-8,-2,-2,-2),
graph( 300, 300, -10,10,-10,10))}}}