Final answer:
To graph the line with a slope of 2 and a y-intercept of 4, plot the point (0, 4) and then from there move 1 unit right and 2 units up to plot the next point, (1, 6). Connect these points to create the line.
Step-by-step explanation:
To graph a line with a slope of 2/1 that passes through the point (0, 4), you should start at the given point on the graph. As the slope is 2/1, this means that for every 1 unit you move to the right along the x-axis, you will move 2 units up along the y-axis. Since the point (0, 4) is on the y-axis, this is your starting point.
Now, plot the point (0, 4). From there, use the slope to determine the next point by moving 1 unit to the right (which is along the x-axis), and then 2 units up (which is along the y-axis). The new point you will plot is (1, 6). Connect these two points with a straight line, and you have graphed the line.