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3 years ago

6

Write an equation in standard form of an ellipse that is 28 units high and 20 units wide

1 answer:

cestrela7 [59]3 years ago

8 0

The standard form of ellipse with vertical major axis and center at the origin is:
x^2/b^2+y^2/a^2=1, a>b
2a=length of the major axis=28
a=14
a^2=196

2b=length of minor axis=20
b=10
b^2=100

x^2/196+y^2/100=1

making y the subject we get

y=5/7(196-x²)^0.5

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Answer:

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Step-by-step explanation:

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Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

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$2=\frac{9}{4}(7)+b$

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The y-intercept is $-\frac{55}{4}$ .

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