Question 10149
While the answer may be yes or no, it does require a little effort to determine which one of these will be the correct choice!

You will need to find the slopes of these two lines and compare them.  If the slopes are identical, then the lines are parallel, if not, then they are not (parallel, that is).

Let's find the slope of the first line line through the points, P1 and P2.

Using the given x, y coordinates of the two points, P1 (2,1) and P2 (3,4), and the formula for the slope of a line: {{{m = (y2-y1)/(x2-x1)}}}:

{{{m1 = (4-1)/(3-2)}}}
{{{m1 = 3/1}}}  The slope is 3

Now the second line through the two points, Q1 (-2,1) and Q2 (2,2):

{{{m2 = (2-1)/(2-(-2))}}}
{{{m2 = 1/4}}} The slope is 1/4

Since the slopes are not identical, the lines are not parallel.

So, your answer would be NO!