Please show all work.

1.) If the focus of the parabola is (A, D), and the directrix of the parabola is y=-3/5x - 7, find the equation of the axis of symmetry in the form y=mx + k, (where m and k are in the simplest form).

2.) Let 4(x)= 8(x)^2 - 2(x) + 8, find the following in the simplest form:

A) 4(x) - 4(t)/(x - t)

B) 4(x + k) - 4(x)/k

3.) Solve the following equation finding the exact value of x:

2^2x-3 = 5^2x+5, express your answer is the form x=M, where m and n are in the simplest form.

4.) Solve the following equation finding the exact value of x in the simplest form:

(4x - 3)+(3x - 5)= 0

5.) Answer the following question based on the parabola whose equation is:

4(x)= -1/8(x - 8)^2 + 8

A) Vertex is:

B) Focus is:

C) Directrix is:

D) Axis of symmetry is:

E) Let point P have the coordinates (2, f(2))

F) Let point K have the coordinates (8, y) and located outside the parabola, this point is located on the axis of symmetry

G) Find the distance between focus and point P. (this distance should be a number)

H) Find the distance between focus and point K. (this distance is in terms of y)

I) Set the two distance equal and solve for y. Now the coordinates of point K is (8, y)

J) Find the equation of a line passing through point P and point K, express the equation of a line in form y= mx + n, where m and n are in simplest form

6. Let the equation of the ellipse be (x - 2)^2/81 + (y - 8)2/45= 1

Find the slope of a line tangent to ellipse passing through the point ((2 - 6), (8 + 5)).

Find an equation of the tangent line that passes through the point ((2 - 6), (8 + 5)), in the form y= mx + k, where m and k are in simplest form.

7. Let the equation of the hyperbola be (x - 2)^2/81 - (y - 2)^2/63= 1

Find the slope of a line tangent to ellipse passing through the point ((2 + 12), (2 - 7)).

Find an equation of the tangent line that passes through the point ((2 + 12), (2 - 7)), in the form y= mx + k, where m and k are in simplest form.