Question 904970
"write an equation for the ellipse that satisfies the given set of conditions endpoints of major axis at (-7,2) and (5,2) endpoints of minor axis at (-1,0) and (-1, 4) "
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Given ellipse has a horizontal major axis:
ts standard form of equation: {{{(x-h)^2/a^2+(y-k)^3/b^2=1}}}, a>b, (h,k)=coordinates of center
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center:(-1,1.5)
length of horizontal major axis=12(5 to -7)=2a
a=6
a^2=36
length of minor axis=4(0 to 4)=2b
b=2
b^2=4
equation: {{{(x+1)^2/36+(y-1.5)^2/4=1}}}