Rewrite the following equation in standard form.

y = –2x + 5


Hint: The standard form of a linear equation is Ax + By = C where A and B are not both zero, and A, B, and C are integers whose GCF is 1.



To rewrite the equation \( y = -2x + 5 \) in standard form, follow these steps:

1. Start with the given equation:
   \[
   y = -2x + 5
   \]

2. Add \( 2x \) to both sides to move the \( x \)-term to the left:
   \[
   2x + y = 5
   \]

This is now in standard form \( Ax + By = C \), where:
- \( A = 2 \)
- \( B = 1 \)
- \( C = 5 \)

Since \( A \), \( B \), and \( C \) are integers and their greatest common factor (GCF) is 1, this is the final standard form.

Would you like more details or have any questions?

Here are five related questions:
1. How do you convert a linear equation from slope-intercept form to standard form?
2. What are the characteristics of a linear equation in standard form?
3. Can a standard form equation have fractions or decimals in it?
4. What happens if the coefficient \( A \) in standard form is negative?
5. How do you find the x-intercept and y-intercept from a standard form equation?

**Tip:** To check your standard form, ensure that \( A \), \( B \), and \( C \) are integers and that \( A \) is positive.

Rewrite the following equation in standard form: y = –2x + 5

Learn how to convert the linear equation y = -2x + 5 into standard form Ax + By = C. This step-by-step solution demonstrates the method of rearranging a linear equation from slope-intercept form to standard form. Suitable for students in Grades 8-10, covering key algebra concepts.

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