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To draw a line with a slope of \( \frac{2}{3} \), follow these steps:

1. **Choose a Starting Point:** Begin at any point on the grid, usually starting at the origin, (0, 0), unless otherwise specified.

2. **Use the Slope \( \frac{2}{3} \):** The slope tells us that for every 3 units you move to the right (positive \( x \)-direction), you move 2 units up (positive \( y \)-direction). So, starting from (0, 0):
   - Move 3 units to the right, reaching \( x = 3 \).
   - Move 2 units up, reaching \( y = 2 \).
   - Plot this new point at (3, 2).

3. **Repeat the Process:** From (3, 2), move 3 units to the right to \( x = 6 \) and 2 units up to \( y = 4 \). Plot the point (6, 4).

4. **Draw the Line:** Connect the points (0, 0), (3, 2), and (6, 4) with a straight line, and extend it in both directions.

This line represents the equation \( y = \frac{2}{3}x \) on the graph.

Would you like further details on slope or graphing lines?

### Related Questions
1. How do you determine the slope from two points on a graph?
2. How would the graph change if the slope were negative?
3. How can we find the y-intercept of a line?
4. How do you convert a slope-intercept equation to standard form?
5. What does it mean if the slope is undefined?

**Tip:** To quickly find points on a line, remember the slope as "rise over run." This guides how far up or down and left or right to move between points.

Draw a line with a slope of 2/3 on the given grid.

Learn how to draw a line with a slope of 2/3 on a coordinate grid. This problem demonstrates the process of using slope to determine points on a line and how to connect these points on a graph. Ideal for students in Grades 7-9 studying algebra and coordinate geometry.

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