To find the equation of the line in general form, let's start with the given equation:

$y + 4 = -6(x - 9)$

Step 1: Expand the equation

Distribute $-6$ to $x - 9$:

$y + 4 = -6x + 54$

Step 2: Rearrange to general form $Ax + By + C = 0$

Move all terms to one side of the equation:

$6x + y - 50 = 0$

Final Answer:

The general form of the equation is:

$6x + y - 50 = 0$

Would you like me to verify this or explain any step further?

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Here are 5 related questions for further exploration:

1. Can you graph this equation to verify the solution?
2. How do you convert a general form equation back into slope-intercept form?
3. What are the slope and y-intercept of this line?
4. How do you find the x- and y-intercepts from the general form equation?
5. Can this equation be expressed in standard form (Ax + By = C) with $A > 0$?

Tip: When working with equations in general form, ensure $A, B, C$ are integers and $A > 0$ for consistency.