Answer
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Step 1:: Understand the equation and its components.
The given equation is a linear equation in the slope-intercept form, where the slope (m) is 2 and the y-intercept (b) is 1. This means the line has a positive slope and passes through the point (0, 1).
Step 2:: Plot the y-intercept.
Since the y-intercept is 1, plot the point (0, 1) on the graph.
Step 3:: Identify two additional points on the line using the slope.
The slope of the line is given by $$m = 2 = rac{rise}{run}$$.
This means for every unit of increase in the x-coordinate, the y-coordinate increases by 2 units. Starting from the y-intercept (0, 1), move 1 unit to the right and 2 units up, plot the point (1, 3). Repeat this process, starting from (1, 3), move 1 unit to the right and 2 units up, plot the point (2, 5).
Step 4:: Draw the line through the points.
Connect the three points (0, 1), (1, 3), and (2, 5) with a straight line.
Final Answer
The graph of the equation y = 2x + 1 is a straight line passing through the points (0, 1), (1, 3), and (2, 5). The graph is shown below: 
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