Answer:

The general form of a linear equation is \(Ax + By + C = 0\), where \(A\), \(B\), and \(C\) are constants.

Let's identify the values for \(A\), \(B\), and \(C\) for each given equation:

1. \(4 + 2 = -5x\)

\[ -5x + 6 = 0 \]

\(A = -5\), \(B = 0\), \(C = 6\)

2. \(9 = -4x - 7y\)

\[ -4x - 7y + 9 = 0 \]

\(A = -4\), \(B = -7\), \(C = 9\)

3. \(8y + 5 = 5x\)

\[ 5x - 8y - 5 = 0 \]

\(A = 5\), \(B = -8\), \(C = -5\)

4. \(-5 = 6y + x\)

\[ x - 6y + 5 = 0 \]

\(A = 1\), \(B = -6\), \(C = 5\)

5. \(2x + 6 = 8y\)

\[ 2x - 8y - 6 = 0 \]

\(A = 2\), \(B = -8\), \(C = -6\)

6. \(-4y - 8x = -4\)

\[ -8x - 4y + 4 = 0 \]

\(A = -8\), \(B = -4\), \(C = 4\)

These are the values for \(A\), \(B\), and \(C\) in the general form for each given equation.

Step-by-step explanation:

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