Question
what is the standard form of y=4/9x-3
Answers
GPT-4o mini
To convert the equation \( y = \frac{4}{9}x - 3 \) to standard form, we want to rewrite it in the format \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers, and \( A \) should be non-negative.
Starting with the equation:
\[
y = \frac{4}{9}x - 3
\]
1. First, eliminate the fraction by multiplying through by 9 (the denominator):
\[
9y = 4x - 27
\]
2. Next, rearrange the equation to bring all terms involving \( x \) and \( y \) to one side:
\[
-4x + 9y = -27
\]
3. To get \( A \) as a positive integer, multiply the entire equation by -1:
\[
4x - 9y = 27
\]
Therefore, the standard form of the equation is:
\[
4x - 9y = 27
\]
Starting with the equation:
\[
y = \frac{4}{9}x - 3
\]
1. First, eliminate the fraction by multiplying through by 9 (the denominator):
\[
9y = 4x - 27
\]
2. Next, rearrange the equation to bring all terms involving \( x \) and \( y \) to one side:
\[
-4x + 9y = -27
\]
3. To get \( A \) as a positive integer, multiply the entire equation by -1:
\[
4x - 9y = 27
\]
Therefore, the standard form of the equation is:
\[
4x - 9y = 27
\]