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Sauron [17]
3 years ago
5

Identify(describe) each part of the ellipse as labeled by a letter​

Mathematics
1 answer:
Effectus [21]3 years ago
8 0

Answer: see below

<u>Step-by-step explanation:</u>

A) y has the smaller radius so this is the Minor Axis

B) y has the smaller radius so these are the CoVertices

C) x has the bigger radius so these are the Vertices

D) This is the Center of the ellipse.

F & G) These are the Foci (plural for Focus)

H) x has the bigger radius so this is the Major Axis

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The answer is y = 4x - 8.

Step-by-step explanation:

☆Remember: m =  \frac{y_2 - y_1}{x_2 - x_1}

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☆We need to find the slope first. So just plug in according to the slope formula!

m =  \frac{0 - 8}{2 - 4}  =  \frac{ - 8}{ - 2}  = 4

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☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

y = mx + b \\ 8 = 4(4) + b \\ 8 = 16 + b \\   \frac{ - 16 =  - 16 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }{ - 8 = b \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }

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☆Now all we need to do is plug in and we are done!

y = 4x - 8

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