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The equation provided is:

\[
12y + 4 = \frac{-3x}{2}
\]

To convert this equation into standard form, we follow these steps:

### Step 1: Eliminate the fraction
Multiply both sides of the equation by 2 to get rid of the denominator on the right-hand side:

\[
2(12y + 4) = 2\left(\frac{-3x}{2}\right)
\]

This simplifies to:

\[
24y + 8 = -3x
\]

### Step 2: Rearrange into standard form
The standard form of a linear equation is typically written as:

\[
Ax + By = C
\]

Rearrange the terms to have the \(x\) and \(y\) terms on the left-hand side and the constant on the right-hand side:

\[
3x + 24y = -8
\]

This is the equation in standard form.

Would you like more details or have any questions?

Here are five related questions:
1. How would you solve this equation for \(y\)?
2. Can this equation be expressed in slope-intercept form?
3. What are the values of \(A\), \(B\), and \(C\) in the standard form of this equation?
4. How does the standard form help in graphing the line?
5. Can this equation represent a real-world scenario? If yes, in what context?

**Tip:** When converting to standard form, ensure that the coefficient of \(x\) is positive.

Convert the equation 12y + 4 = (-3x) / 2 into standard form.

Learn how to convert the linear equation '12y + 4 = (-3x) / 2' into standard form. This solution includes step-by-step details, covering key algebraic concepts. Suitable for students in Grades 8-10.

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