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To graph the line with slope \(-\frac{1}{3}\) passing through the point \((3, 5)\), follow these steps:

### Step-by-step solution:
1. **Plot the given point \((3, 5)\)**:
   - Start by locating the point \((3, 5)\) on the graph. Move 3 units to the right on the x-axis and 5 units up on the y-axis.

2. **Use the slope to find another point**:
   - The slope \(-\frac{1}{3}\) means that for every 3 units you move to the right (positive direction on the x-axis), you move 1 unit down (negative direction on the y-axis).
   - Starting from \((3, 5)\), move 3 units to the right (to \(x = 6\)) and 1 unit down (to \(y = 4\)). This gives the point \((6, 4)\).

3. **Plot the second point \((6, 4)\)**.

4. **Draw the line**:
   - Draw a straight line passing through both points \((3, 5)\) and \((6, 4)\).

This will be the graph of the line with slope \(-\frac{1}{3}\) passing through the point \((3, 5)\).

Would you like more details or have any questions?

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Here are five related questions for further practice:
1. How would you graph a line with slope \( \frac{2}{5} \) passing through point \((-2, -3)\)?
2. What is the equation of the line with slope \(4\) passing through \((1, -1)\)?
3. How does the slope affect the steepness and direction of a line?
4. Can you determine the x-intercept of the line with slope \(-\frac{1}{3}\) passing through \((3, 5)\)?
5. What is the general equation of a line, and how can you find it using the slope and a point?

**Tip:** The slope formula, \(\text{slope} = \frac{\Delta y}{\Delta x}\), can help you easily find other points on the line once you know one point.

Graph the line with slope -1/3 passing through the point (3, 5).

Learn how to graph a line with slope -1/3 passing through the point (3, 5). This problem covers key geometry concepts including the slope formula and point-slope form, suitable for students in Grades 8-10.

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