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When I tried to graph it I graphed it to the left but I got it wrong it was the right

It seems you're working on graphing the inequality \( y < 3x - 1 \). Based on what you've described, it sounds like you might have shaded the wrong side of the boundary when graphing the inequality. Let's go through the steps to graph it correctly:

1. **Graph the boundary line**: The inequality is based on the line \( y = 3x - 1 \). This is a straight line with:
   - A slope of \( m = 3 \) (rise over run).
   - A y-intercept at \( (0, -1) \) (where the line crosses the y-axis).
   
   Since the inequality is \( y < 3x - 1 \), you should **graph this line as a dashed line** to indicate that points on the line are **not included** in the solution (i.e., it’s a strict inequality).

2. **Determine which side to shade**:
   - Use a test point, like \( (0, 0) \) (which is easy to plug into the inequality) to determine where to shade. 
   - Substitute \( x = 0 \) and \( y = 0 \) into the inequality \( y < 3x - 1 \):
     \[
     0 < 3(0) - 1 \quad \Rightarrow \quad 0 < -1
     \]
     This statement is **false**, which means the region containing the point \( (0, 0) \) (the left side) is **not** part of the solution.
   
   Therefore, you should **shade the region to the right** of the line, where the inequality holds true.

Would you like a step-by-step graphing example or have any specific questions about the process?

### Follow-up questions:
1. How do you graph a line given in slope-intercept form \( y = mx + b \)?
2. Why is it important to use a dashed line for strict inequalities like \( y < 3x - 1 \)?
3. What is the significance of testing a point to determine which side to shade?
4. How does changing the slope \( m \) affect the steepness of the line?
5. How would the graph differ if the inequality was \( y \geq 3x - 1 \)?

**Tip**: Always choose an easy point like \( (0, 0) \) for testing if it's not on the boundary line—it simplifies the process!

When I tried to graph it I graphed it to the left but I got it wrong it was the right.

Learn how to graph the inequality y < 3x - 1 using the slope-intercept form. This includes drawing the boundary line and using a test point to determine the correct region to shade. Suitable for students in Grades 8-10.

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