To convert the equation \( y = \left(-\frac{2}{3}\right)x - \frac{5}{6} \) into standard form, we need to rewrite it in the form:

\[
Ax + By = C
\]

Where \( A \), \( B \), and \( C \) are integers, and \( A \) is positive.

### Steps:

1. **Eliminate the fraction**: To remove the fractions, multiply the entire equation by 6, which is the least common denominator of 3 and 6.
   
   \[
   6y = 6 \left(-\frac{2}{3}x\right) - 6\left(\frac{5}{6}\right)
   \]

   Simplifying:

   \[
   6y = -4x - 5
   \]

2. **Rearrange the terms**: Move all terms to one side of the equation to get the standard form:

   \[
   4x + 6y = -5
   \]

So, the standard form of the equation is:

\[
4x + 6y = -5
\]

Would you like any additional details on how to transform equations or solve them?

### Related Questions:
1. How do you find the slope of a line from standard form?
2. How do you convert from standard form back to slope-intercept form?
3. What does the constant term in standard form represent?
4. How can you graph a line given its standard form equation?
5. How do you determine if two lines are parallel or perpendicular?

### Tip:
Always clear fractions by multiplying through by the least common denominator before converting to standard form.

Learn how to convert the linear equation y = (-2/3)x - 5/6 into standard form. This step-by-step guide covers key algebraic concepts like eliminating fractions and rearranging terms. Suitable for students in Grades 8-10.

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