The given equation is:

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

This represents a linear equation in slope-intercept form, \( y = mx + b \), where:
- \( m \) is the slope, and
- \( b \) is the y-intercept.

### Identifying Components:
- Slope (\( m \)): The coefficient of \( x \) is \(-1\), so the slope is \(-1\).
- Y-intercept (\( b \)): The constant term is \( \frac{2}{3} \), so the y-intercept is at \( \left(0, \frac{2}{3} \right) \).

### Graph Interpretation:
- The line will slope downward because of the negative slope.
- It crosses the y-axis at \( \left(0, \frac{2}{3} \right) \).

Do you need any further details or explanations?

Here are 5 related questions:
1. What is the x-intercept of the line?
2. How would the graph change if the slope were positive?
3. Can you rewrite the equation in standard form?
4. How do you find the slope from two points on a line?
5. What is the slope of a line parallel to this one?

**Tip:** When graphing linear equations, always check both intercepts (x- and y-) for easier plotting.

Learn how to solve and graph the linear equation y = 2/3 - x. This problem covers key algebraic concepts such as slope, y-intercept, and the slope-intercept form of a line. Suitable for students in Grades 6-8.

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