https://file.aiquickdraw.com/mathbot/file/17271974548579ktb78tc.jpg

The equation provided in the image is:

\[
y = -\frac{1}{2}x + 4
\]

This is a linear equation in slope-intercept form, where:
- The slope \( m \) is \( -\frac{1}{2} \),
- The y-intercept \( b \) is 4.

### Steps to plot the graph:

1. **Plot the y-intercept**: 
   - The y-intercept occurs when \( x = 0 \), so plot the point \( (0, 4) \). This means that one of the points should be at \( (0, 4) \).

2. **Use the slope to find a second point**: 
   - The slope is \( -\frac{1}{2} \), meaning for every 2 units you move to the right (positive \( x \)-direction), you move 1 unit down (negative \( y \)-direction).
   - Starting from \( (0, 4) \), move 2 units to the right, arriving at \( x = 2 \), and 1 unit down, arriving at \( y = 3 \). The second point is \( (2, 3) \).

3. **Connect the points**:
   - Use the blue highlighter to draw a straight line connecting \( (0, 4) \) and \( (2, 3) \).

If you'd like more details on graphing linear equations or need further clarification, feel free to ask!

### Related Questions:
1. How do you graph a line with a positive slope?
2. What happens to the graph when you change the slope to \( \frac{1}{2} \)?
3. How do you find the x-intercept of a linear equation?
4. Can you explain how the slope affects the steepness of the line?
5. What would happen if the y-intercept was negative?

**Tip**: Always start graphing a line by plotting the y-intercept first, then use the slope to determine other points.

Graph the equation y = -1/2x + 4 by plotting two points and drawing the line.

Learn how to graph the linear equation y = -1/2x + 4 by plotting the y-intercept and using the slope. This lesson covers linear equations, the slope-intercept form, and graphing techniques. Suitable for students in Grades 8-10.

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