Write an equation in standard form with integer coefficients y=1/2x-2

To write the equation \( y = \frac{1}{2}x - 2 \) in standard form with integer coefficients, follow these steps:

1. Start with the given equation:
   \[
   y = \frac{1}{2}x - 2
   \]
   
2. Eliminate the fraction by multiplying the entire equation by 2:
   \[
   2y = x - 4
   \]

3. Rearrange the terms to get the equation in standard form \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers:
   \[
   x - 2y = 4
   \]

Thus, the equation in standard form is:
\[
x - 2y = 4
\]

Would you like more details or have any other questions?

Here are 5 related questions to expand on this:

1. How do you convert an equation from slope-intercept form to standard form?
2. What is the general definition of standard form for a linear equation?
3. Can you convert \( y = -\frac{3}{4}x + 5 \) into standard form?
4. How do you determine the slope and intercept from an equation in standard form?
5. What are the advantages of writing equations in standard form?

**Tip:** Always clear fractions by multiplying through by the denominator when converting to standard form.

Write an equation in standard form with integer coefficients y = 1/2x - 2

Learn how to convert the linear equation y = 1/2x - 2 into standard form with integer coefficients. This step-by-step guide covers the conversion process from slope-intercept form to standard form, making it ideal for students in Grades 7-9.

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