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Answer :
Using the slope formula, the lines are:
1. Neither
2. Perpendicular
3. Neither
What is the Slope Formula?
The slope formula is given as, m = change in y / change in x.
Slope of lines that are parallel are the same while slope of perpendicular line will give a product of -1.
1. Slope of L1 (m) = change in y / change in x = (6 - 0) / (0 - (-2))
m = 6/2
m = 3
Slope of L2 (m) = change in y / change in x = (3 - 3) / (0 - 1)
m = 0/-1
m = 0
Both lines are neither.
2. Slope of L1 (m) = change in y / change in x = (-2 - 2) / (8 - 6)
m = -4/2
m = -2
Slope of L2 (m) = change in y / change in x = (0 - 1) / (3 - 5)
m = -1/-2
m = 1/2
Both lines are perpendicular because (-2)(1/2) = -1
3. Slope of L1 (m) = change in y / change in x = (4 - (-1)) / (4 - (-5))
m = 5/9
Slope of L2 (m) = change in y / change in x = (10 - (-7)) / (8 - 4)
m = 17/4
The lines are neither.
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