https://file.aiquickdraw.com/mathbot/file/1728242112216yhc31gsq.jpg

The equation given is:

\[
y = -\frac{1}{10}x + \frac{1}{5}
\]

### To write this in standard form, we follow these steps:
1. **Standard form** of a linear equation is written as:
   \[
   Ax + By = C
   \]
   where \(A\), \(B\), and \(C\) are integers, and \(A\) should be positive.

2. Start with the given equation:
   \[
   y = -\frac{1}{10}x + \frac{1}{5}
   \]

3. **Eliminate the fractions** by multiplying the entire equation by the least common denominator (LCD) of 10. This gets rid of the fractions:
   \[
   10y = -x + 2
   \]

4. Rearrange the terms to get the equation in standard form \(Ax + By = C\):
   \[
   x + 10y = 2
   \]

So, the **standard form** of the equation is:
\[
x + 10y = 2
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you find the slope and y-intercept of this equation?
2. What is the slope of a line parallel to this one?
3. How do you convert from slope-intercept form to standard form?
4. What is the importance of standard form in linear equations?
5. How would you graph the equation in standard form?

**Tip:** When converting equations to standard form, remember to avoid fractions and keep the coefficient of \(x\) as positive for the most accepted convention.

Write the linear equation in standard form: y = -1/10x + 1/5

Learn how to convert the linear equation y = -1/10x + 1/5 into standard form. This step-by-step guide shows how to eliminate fractions and rearrange the equation to fit Ax + By = C. Perfect for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation