One of the equation of ellipse is in a form of the lengths of its axes. If we have the length of its major axis as 2a and the length of its minor axis as 2b then, the values of a and b are,
2a = 16, a = 16/2 = 8
2b = 4, b = 4/2 = 2
Given that we have the major axis as vertical, the equation for ellipse is,
y²/a² + x²/b² = 1
Substituting,
y²/8² + x²/2² = 1
Simplifying,
y² + 16x² = 1
<em>Answer: y² + 16x² = 1</em>
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Y = -1/2x - 1
Tell me if you need explanation
If you plug the x and y value's and the last one is the answer.
4(1)+3(4)=4+12=16
7(1)+6(4)=7+24=31