SOLUTION: This is a yes or no question. Determine if the line through P1 and P2 is parallel to the line through Q1 and Q2. P1(2,1), P2(3,4); Q1(-2,1), Q2(2,2)

Algebra ->  Graphs -> SOLUTION: This is a yes or no question. Determine if the line through P1 and P2 is parallel to the line through Q1 and Q2. P1(2,1), P2(3,4); Q1(-2,1), Q2(2,2)      Log On


   

Question 10149: This is a yes or no question. Determine if the line through P1 and P2 is parallel to the line through Q1 and Q2.
P1(2,1), P2(3,4); Q1(-2,1), Q2(2,2)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
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+=+%28y2-y1%29%2F%28x2-x1%29:
m1+=+%284-1%29%2F%283-2%29
m1+=+3%2F1 The slope is 3
Now the second line through the two points, Q1 (-2,1) and Q2 (2,2):
m2+=+%282-1%29%2F%282-%28-2%29%29
m2+=+1%2F4 The slope is 1/4
Since the slopes are not identical, the lines are not parallel.
So, your answer would be NO!