The correct answer is b), or x² = -12y.
Explanation:
This equation may be written in standard form as

The coefficient in front of x² is negative so the curve is downward.
The vertex has coordinates (0,0).
The vertex is equidistant from the directrix and the focus, so the focus is (0, -3).
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The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line is the negative reciprocal of that:
... m = -1/(3/5) = -5/3
The point-slope form of the equation of a line can be written as
... y = m(x -h) +k . . . . .for slope m and point (h, k)
Using the values we are given for the perpendicular line, its equation is
... y = (-5/3)(x -15) -5
Simplifying gives
... y = (-5/3)x +20
The y-intercept of the perpendicular line is 20.
Answer:
Step-by-step explanation:
g(x) = 0
0=-5x+5
5x=5
x=1
Add all the numbers together then divide by how many numbers there are