https://file.aiquickdraw.com/mathbot/file/1726717332745ceps5hwm.jpg

The equation in the image is \( y = 4x + 3 \), and the task is to rewrite it in standard form. 

The standard form of a linear equation is:

\[
Ax + By = C
\]

Where:
- \( A \), \( B \), and \( C \) are integers.
- \( A \) is typically positive.

To rewrite \( y = 4x + 3 \) in standard form, follow these steps:

1. Start with the equation:  
   \[
   y = 4x + 3
   \]

2. Subtract \( 4x \) from both sides to move the \( x \)-term to the left side:  
   \[
   -4x + y = 3
   \]

3. Multiply the entire equation by \( -1 \) (if necessary) to make the \( x \)-term positive:  
   \[
   4x - y = -3
   \]

Thus, the equation in standard form is:

\[
4x - y = -3
\]

Would you like more details or have any other questions? 

Here are 5 related questions:
1. How do you convert an equation from slope-intercept form to standard form?
2. What is the significance of standard form in linear equations?
3. Can any linear equation be written in standard form?
4. Why is it important for \( A \) in the standard form to be positive?
5. What are the different forms of a linear equation?

**Tip:** Always check for simplification opportunities when converting to standard form!

Rewrite the equation y = 4x + 3 in standard form.

Learn how to rewrite the linear equation y = 4x + 3 in standard form. This problem covers key algebraic concepts, including converting equations to the form Ax + By = C. Suitable for students in Grades 8-10.

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