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.