Question

Write the following in general form:
-2x+3y+4=0

Answer 1

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:

\[
2x - 3y - 4 = 0
\]