The graphs of the two lines are parallel.
Notice that y = 2x has a slope of 2 and a y-intercept of 0.
y = 2x + 4 has a slope of 2 and a y-intercept of 4.
Notice that both of the lines have a slope of 2.
When lines have the same slope, the
graphs of the two lines are parallel.
When lines have different slopes, the
graphs of the lines will intersect.
Here, since both the lines have the same slope, 2,
we know that the lines are parallel.
If we compare the y-intercepts of the two graphs, we can see that the graph of y = 2x is translated 2 units down from y = 2x + 4.
While you don't need to draw the graph in order to answer this question, a good way to check your answer is by graphing both lines on the same graph and comparing what they look like.