Looks like A is the answer.
Answer:
b
Step-by-step explanation:
y² - 4y - 2x - 4 = 0
<u> +2x +4 </u> <u>+2x + 4 </u>
y² - 4y = 2x + 4
<u> +4 </u> <u> +4 </u>
(y - 2)² = 2x + 8
<u> -8 </u> <u> -8 </u>
(y - 2)² - 8 = 2x

(y - 2)² - 4 = x
x =
(y - 2)² - 4
<em>Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)</em>
<u>Question 1</u>
Since the x-coordinates are the same, the line is vertical. Therefore, the slope is undefined.
<u>Question 2</u>
Since the y-coordinates are the same, the line is horizontal. Therefore, the slope is zero.