Rewrite the following equation in standard form.

y = 2x + 8

To rewrite the equation \( y = 2x + 8 \) in standard form, you need to rearrange it into the form \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers, and \( A \) is non-negative.

Starting with the given equation:

\[
y = 2x + 8
\]

Subtract \( 2x \) from both sides to move the \( x \) term to the left side:

\[
-2x + y = 8
\]

Now, to make \( A \) positive, multiply the entire equation by \(-1\):

\[
2x - y = -8
\]

So, the equation in standard form is:

\[
2x - y = -8
\]

Would you like further details or have any questions about this? Here are some related questions:

1. How do you convert an equation from slope-intercept form to standard form?
2. What is the importance of the standard form of a linear equation?
3. Can the standard form of a linear equation have fractions?
4. What are the benefits of using the standard form over slope-intercept form?
5. How do you find the slope of a line given its standard form?

**Tip:** When rewriting an equation in standard form, ensure that the coefficients of \( x \) and \( y \) are integers, and the coefficient of \( x \) is non-negative.

Learn how to rewrite the linear equation y = 2x + 8 into standard form. This problem covers key algebraic concepts, including linear equations and their standard form. Suitable for students in Grades 7-9.

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