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Find the standard form of the equation of the ellipse satisfying the following conditions: endpoints of major axis (-5, 4) and (3, 4); endpoints of minor axis (-1, 1) and (-1, 7). Graph this conic, marking the center and vertices.

Find the standard form of the equation of the ellipse satisfying the following conditions endpoints of major axis 5 4 and 3 4 endpoints of minor axis 1 1 and 1 class=

Respuesta :

Step 1

Find the distance between the points in the major axis

[tex]\begin{gathered} =\sqrt{\left(3-\left(-5\right)\right)^2+\left(4-4\right)^2} \\ =8 \end{gathered}[/tex]

Step 2

Find the distance between the points in the minor axis

[tex]\begin{gathered} =\sqrt{\left(-1-\left(-1\right)\right)^2+\left(7-1\right)^2} \\ =6 \end{gathered}[/tex]

Step 3

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