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To graph the line that contains the point (-6, 4) and has a slope of \(-\frac{2}{3}\), follow these steps:

### 1. Start at the point (-6, 4)
This is your initial point. Plot it on the graph.

### 2. Use the slope to find the next point
The slope \(-\frac{2}{3}\) means that for every 3 units you move to the right (positive direction on the x-axis), you move 2 units down (because of the negative sign).

- From (-6, 4), move **3 units to the right** to get to **x = -3**.
- From there, move **2 units down** to get to **y = 2**.

So, the next point is (-3, 2).

### 3. Draw the line
Connect the two points (-6, 4) and (-3, 2) with a straight line. You can continue extending the line in both directions if necessary, maintaining the same slope.

### 4. Optional: Find another point
To confirm the accuracy, you can find another point:
- From (-3, 2), move **3 units to the right** to reach **x = 0**.
- Then, move **2 units down** to reach **y = 0**.

So, another point on the line is (0, 0).

This should give you a clear graph of the line. Do you need further details or clarifications?

Here are 5 questions to expand on this topic:
1. How do you determine the equation of the line in slope-intercept form from these points?
2. What happens if the slope is positive instead of negative?
3. How would the graph change if the starting point was different but the slope remained the same?
4. How do you interpret the slope as a rate of change in real-world problems?
5. What would happen if the slope were undefined?

### Tip:
When plotting lines, always remember the sign of the slope dictates the direction: negative slopes go down as x increases, while positive slopes go up.

Graph the line that contains the point (-6, 4) and has a slope of -2/3.

Learn how to graph the line passing through the point (-6, 4) with a slope of -2/3. This tutorial explains how to use the slope and point to plot a linear equation on a graph. Suitable for students in Grades 8-10, this exercise reinforces graphing and algebraic concepts.

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