The graph that correctly shows the line y = 2x + 3 is option A as shown in the diagram below.
How to determine the graph that represents an equation of a line?
Given the equation of a line in slope-intercept form as y = 2x + 3, it means that the slope is 2 while the y-intercept (where the line intersects the y-axis) is 3.
Thus, the graph that will correctly show y = 2x + 3 must have a slope of 2 and must intersect the y-axis at point (0, 3).
The first graph given in option A represents this feature, hence the answer is option A as shown in the image attached below.