The equation you provided is in slope-intercept form: 

\[
y = -\frac{1}{3}x + 4
\]

where:
- The slope (\(m\)) is \(-\frac{1}{3}\), which means for every 1 unit increase in \(x\), \(y\) decreases by \(\frac{1}{3}\) units.
- The y-intercept (\(b\)) is 4, which means the line crosses the y-axis at \(y = 4\).

### Key features of this line:
- **Slope**: \(-\frac{1}{3}\)
- **Y-intercept**: \(4\)
- The line is **decreasing**, since the slope is negative.

### To graph this:
1. Start at the point (0, 4) on the y-axis.
2. From that point, move down 1 unit (because of the negative slope) and right 3 units to plot the next point.
3. Connect these points with a straight line.

Would you like more details, or do you have any questions?

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### Relative Questions:
1. How would the graph change if the slope were positive?
2. What is the x-intercept of this line, where \(y = 0\)?
3. Can you rewrite this equation in standard form?
4. What happens if you change the y-intercept to \(b = -2\)?
5. How do you determine if two lines are parallel?

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### Tip:
When the slope is negative, the line always slants downward from left to right.

Explore how to solve and graph the linear equation y = -1/3x + 4. This problem focuses on understanding the slope-intercept form, identifying the slope and y-intercept, and plotting the line on a graph. Suitable for students in Grades 8-10.

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