given directrix is 3x-5y+1=0 & vertex is (-6,0),find focus and eqn of parabola

Given that the equation of directrix is 3x - 5y + 1 = 0 and vertex (-6, 0).

The axis of the parabola and the directrix will be perpendicular.

Also, let P (a, b) be the intersection points of the axis and the directrix.

Let the co-ordinates of the focus be (c,d). The vertex will be the midpoint of the focus and point P.

Let, any point on the parabola be (x,y).

In a parabola distance from the directrix is same as that from the focus.

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