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The problem asks for the equation of the line displayed in the graph.

### Step-by-Step Explanation:
1. **Slope of the Line (m)**: The slope can be determined by observing the rise over run between two points on the line. Based on the graph:
   - The line passes through the points (0, -2) and (2, 4).
   - Slope \( m = \frac{\text{rise}}{\text{run}} = \frac{4 - (-2)}{2 - 0} = \frac{6}{2} = 3 \).

2. **Y-Intercept (b)**: The line crosses the y-axis at \( y = -2 \). Thus, the y-intercept \( b = -2 \).

Using the slope-intercept form \( y = mx + b \), we substitute \( m = 3 \) and \( b = -2 \), giving us the equation:
\[ y = 3x - 2 \]

Thus, the correct equation is **\( y = 3x - 2 \)**, which matches the first option.

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Here are 5 related questions:
1. How do you calculate the slope of a line if two points are given?
2. What is the general formula for the slope-intercept form of a line?
3. How do you find the equation of a line if you are given the slope and a point?
4. What does the y-intercept tell you about the graph of a line?
5. How can you tell the steepness of a line from its slope?

**Tip:** The slope indicates how steep a line is—larger slopes mean steeper lines, and negative slopes indicate a downward direction.

Find the equation of a line with a slope of 3 and a y-intercept of -2. The line passes through the points (0, -2) and (2, 4). Learn how to use the slope-intercept form y = mx + b to solve this problem. Suitable for students in Grades 7-9.

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