Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Equation
The equation $$y = 2$$ represents a horizontal line.
This is a constant function where the y-coordinate is always 2, regardless of the x-coordinate.
Step 3:: Identify Key Characteristics
- This is a horizontal line - The line passes through the point (0, 2) - The line extends infinitely in both the positive and negative x directions - The slope of this line is 0
Step 4:: Plot Key Points
- x-intercept: None (the line never crosses the x-axis) - y-intercept: (0, 2)
Step 5:: Sketch the Graph
- Draw a horizontal line that crosses the y-axis at y = 2 - Extend the line completely across the x-axis in both directions
Final Answer
The graph is a horizontal line that passes through the point (0, 2), extending infinitely in both the positive and negative x directions, with the equation y = 2. [A visual representation would show a straight horizontal line crossing the y-axis at the point (0, 2)]
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