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Given the curve $9x^2+4y^2=36$, identify and then sketch the curve indicating the important points

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the curve an ellipse, the important points are the intercepts

to calculate the x-intercepts substitute y with 0

$9x^2+4(0)^2=36$

$x^2=4$

$x=2$ or $x=-2$ (2;0) and (-2;0)

to calculate the y-intercepts substitute x with 0

$9(0)^2+4y^2=36$

$y^2=9$

$Y= 4$ or $y=-4$ (0;4) and (0;-4)

major axis will 8 units long along the y-and minor axis will be unit long along the x-axis
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