Please go through stepbystep for a lifesaver Thank you for y

Please go through step-by-step for a lifesaver. Thank you for your help.

Find an equation for the conic that satisfies the given conditions. ellipse foci (0, -3), (8, -3) vertex (9, -3)

Solution

equation of ellipse will be locus of point that will be at a same distance from the two loci or sum of the distance of the point from two loci will be same always

(x-9)²/[9²+0] + (y+3)²/(1²+0)=1