Answer:
- parallel
- not perpendicular
Step-by-step explanation:
1) It appears that coordinates of points on line P are (-6, 6) and (-2, 8). The slope formula tells us the slope of line P is ...
m = (y2 -y1)/(x2 -x1) = (8 -6)/(-2 -(-6)) = 2/4 = 1/2
Coordinates on line O appear to be (0, 6) and (4, 8). Its slope is ...
m = (8 -6)/(4 -0) = 2/4 = 1/2
The slopes of lines P and O are the same, so the lines are parallel.
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2) It appears that points on line M are (0, 6) and (2, 2). Its slope is ...
m = (2 -6)/(2 -0) = -4/2 = -2
Points on line K appear to be (0, 4) and (10, 10). Its slope is ...
m = (10 -4)/(10 -0) = 6/10 = 3/5
If lines M and K were perpendicular, the product of their slopes would be -1. Here, it is (-2)(3/5) = -6/5 ≠ -1. Lines M and K are not perpendicular.
