Here, the equation of parabola is: (-36y)=x^2
The standard form of parabola is:
(X-h)^2=4p(y-k).
According to given equation, vertex = (0,0) and p = -9
This a vertical parabola opening down, because p = -9 here.
Therefore ditectrix will be y= -9
Slope formula: (y² - y¹) / (x² - x¹)
(2, 5) and (8, -4)
x¹ = 2
x² = 8
y¹ = 5
y² = -4
-4 - 5 = -9
8 - 2 = 6
Answer: -9/6
Hope this Helps!!
