Write this equation in standard form: y=1/4x+5

To write the equation \( y = \frac{1}{4}x + 5 \) in standard form, we need to rearrange it into the form:

\[
Ax + By = C
\]

Here’s the process:

1. Multiply both sides of the equation by 4 to eliminate the fraction:

\[
4y = x + 20
\]

2. Rearrange it to the standard form \( Ax + By = C \):

\[
x - 4y = -20
\]

So, the equation in standard form is:

\[
x - 4y = -20
\]

Would you like more details on the process, or do you have any questions?

Here are 5 related questions to expand on this topic:
1. How do you convert an equation from slope-intercept form to standard form?
2. What are the benefits of writing equations in standard form?
3. Can you convert a quadratic equation into standard form?
4. How does the standard form equation help in graphing?
5. What is the significance of the coefficients \(A\), \(B\), and \(C\) in standard form?

**Tip**: Always check the signs and coefficients carefully when converting to standard form to avoid errors!

Learn how to convert the linear equation y = 1/4x + 5 into standard form. This problem explains the transformation process from slope-intercept to standard form using key algebraic concepts, formulas, and tips for Grades 8-10 students.

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