Question

Is the line that contains the points p1 (3,2) and p2 (1,6) parallel to the line that contains the points q1 (-1,3) and q2 (-1,-1)?

Answer 1

No

Explanation:

If the lines are parallel, they have the same slope.

Slope = Δy/Δx

In the second line, the points have the same value of x. One point is directly above the other (Δx = 0), so the line is vertical with an infinite slope.

In the first line Δx ≠ 0, so the line has a finite slope.

The two slopes are different, so the lines are not parallel.