9x^2-y^2-72x+8y+119.

how do i change this equation from general form to standard form.

What you have written is not an equation. Where is the = sign?

To change the equation from general form to standard form, follow these steps:

1. Rewrite the equation by grouping the x-terms and y-terms separately:

(9x^2 - 72x) - (y^2 - 8y) + 119 = 0

2. Complete the square for both the x-terms and y-terms:

For the x-terms:
- Take half of the coefficient of x, which is -72, and square it: (-72/2)^2 = 36^2 = 1296
- Add this value to both sides of the equation:
(9x^2 - 72x + 1296) - (y^2 - 8y) + 119 = 1296

For the y-terms:
- Take half of the coefficient of y, which is -8, and square it: (-8/2)^2 = 4^2 = 16
- Add this value to both sides of the equation:
(9x^2 - 72x + 1296) - (y^2 - 8y + 16) + 119 = 1296 + 16

3. Factor the perfect square trinomials:

(3x - 36)^2 - (y - 4)^2 + 119 = 1312

4. Simplify the constant terms:

(3x - 36)^2 - (y - 4)^2 = 1312 - 119

(3x - 36)^2 - (y - 4)^2 = 1193

Now, the equation is in standard form, where (3x - 36)^2 - (y - 4)^2 = 1193.