-note that when it is linear the graph is a line.
that makes choice A true
-two lines with the same slope are called parallel lines. they won't meet at any point (theoretically) and does have the same direction. that makes choice C true
-if two lines are having the same y-intercept, they would intersect at that same point in the y-axis. this makes choice D true
-note that a line could have an equation say y=3 which makes the value of y always equal to 3 and the value of x in infinity and doesn't intersect the x-axis. this line is parallel with the x-axis and won't have an x-intercept (theoretically)
therefore the answer is B