To graph the equation \( y = -0.5x - 2 \), follow these steps:

### 1. Identify the slope and y-intercept:
- **Slope (m):** The coefficient of \(x\), which is \(-0.5\). This means for every 1 unit you move to the right on the x-axis, the value of y decreases by 0.5 units (the line slopes downward).
- **Y-intercept (b):** The constant term, which is \(-2\). This is where the line crosses the y-axis.

### 2. Plot the y-intercept:
Start by plotting the point \( (0, -2) \) on the graph.

### 3. Use the slope to find more points:
From \( (0, -2) \), use the slope \(-0.5\) to find additional points:
- Move 1 unit to the right (increase x by 1), then move 0.5 units down (decrease y by 0.5). This gives the point \( (1, -2.5) \).
- Move another 1 unit to the right (increase x by 1), then move 0.5 units down. This gives the point \( (2, -3) \).

### 4. Draw the line:
Connect the points with a straight line, extending it in both directions.

Would you like a visual of the graph, or do you have any questions?

### 5 Relative Questions:
1. How does the slope influence the steepness of the graph?
2. What happens to the graph if we change the slope to \(-1\)?
3. How do we graph a line if the slope is positive instead of negative?
4. How do we find the x-intercept of the equation \( y = -0.5x - 2 \)?
5. What is the significance of the y-intercept in different contexts?

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

Learn how to graph the linear equation y = -0.5x - 2 by identifying the slope and y-intercept. This problem explores key concepts such as the slope-intercept form and plotting points on a graph. Ideal for students in Grades 6-8.

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