Final answer:
The graph representing the linear equation y = 1/2x + 2 is the graph passing through the points (0, 2) and (2, 3).
Step-by-step explanation:
To find the graph of the linear equation y = 1/2x + 2, we can use the given points to determine the slope and y-intercept.
The slope is the coefficient of x, which in this case is 1/2. The y-intercept is the value of y when x = 0, which is 2.
Using the slope-intercept form of the equation, we can plot the points and draw a line through them.
The graph that represents the linear equation y = 1/2x + 2 is the graph passing through the points (0, 2) and (2, 3).