To convert the equation \( y = 34x - 52 \) into standard form, we want to rewrite it in the format \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers.
Starting with the original equation: \[ y = 34x - 52 \]
We can rearrange this to get \( Ax + By = C \):
- Subtract \( 34x \) from both sides: \[ -34x + y = -52 \]
- Multiply through by -1 to make the coefficient of \( x \) positive: \[ 34x - y = 52 \]
Now we have \( 34x - y = 52 \) in standard form.
None of the options you provided directly match this equation. However, the task might be to find a related equation or to simplify it in a way aligned with the options given. None of the answers match well, but we can check if any of those can be derived by transforming or manipulating other linear relationships.
The equations \( 3x - 4y = 10 \), \( 4x - 3y = -10 \), \( 4x - 3y = 10 \), and \( 3x - 4y = -10 \) don't correspond directly to an equivalent form of \( 34x - y = 52 \).
If you need to find which is equivalent to the standard form of \( y = 34x - 52 \), none of these provided options align directly with it, but if you have specific instructions to compare certain values or understand the properties of one given choice, please provide more context!