To write the equation \( -2x + 3y + 4 = 0 \) in general form, we want to rearrange it so that it is in the form \( Ax + By + C = 0 \), where \( A \), \( B \), and \( C \) are integers.
Starting with the given equation:
\[ -2x + 3y + 4 = 0 \]
We can rearrange it to isolate the terms on one side:
\[ -2x + 3y = -4 \]
Now, we want to express this equation in the form \( Ax + By + C = 0 \). To do this, we can add \( 4 \) to both sides:
\[ -2x + 3y + 4 = 0 \]
This is already in general form with:
- \( A = -2 \)
- \( B = 3 \)
- \( C = 4 \)
If we want \( A \) to be a positive integer, we can multiply the entire equation by \(-1\):
\[ 2x - 3y - 4 = 0 \]
So, the general form of the equation is:
\[ 2x - 3y - 4 = 0 \]
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