The points which represents the vertices of the given equation are; (15, −2) and (−1, −2).
<h3>Which points among the answer choices represents the vertices of the ellipse whose equation is given?</h3>
The complete question gives the equation of the ellipse as; (x-7)²/64+(y+2)²/9=1.
Since, It follows from convention that general equation of ellipse with centre as (h, k) takes the form;
(x-h)²/a² +(y-k)²/b² = 1.
Consequently, it follows from observation that the value of a and b in the given equation in the task content is; √64 = 8 and √9 = 3 respectively.
Since, 8 > 3, The vertices of the ellipse are given by; (h±a, k).
The vertices in this scenario are therefore;
(7+8, -2) and (7-8, -2).
= (15, -2) and (-1, -2).
Read more on vertices of an ellipse;
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Answer:
(a) y = -4x + 4 (b) y = 2x + 3
<u>solving steps:</u>
note: m refers to slope and y₁ to y point and x₁ to x point
a)
coordinates: (2,-4)
slope: -4
equation:
b)
coordinates: (1,5), (-1,1)
slope: 
equation:
You can just use a calculator but when you add the numbers all together you get 323
The answer is the square root of (12^2 + 5^2), which is 13. You're correct
