Find the equation of a parabola whose focus is (-8,-2) and equation of directrix is y=2x-9.

Explanation

To find the equation of the parabola with a focus at \((-8, -2)\) and a directrix given by the line \(y = 2x - 9\), we can follow these steps:

### Step 1: Identify the focus and directrix
The focus of the parabola is given as \(F(-8, -2)\) and the equation of the directrix is \(y = 2x - 9\).

### Step 2: Define a point on the parabola
Let \(P(x, y)\) be any point on the parabola. According to the definition of a parabola, the distance from point \(P\) to the focus \(F\) is equal to the distance from point \(P\) to the directrix.

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