Answers:
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Explanation:
Parallel lines have equal slopes, but different y intercepts. If the original line has slope of 2, then anything parallel to this will also have slope of 2. The same applies for 1/2 as well.
Perpendicular slopes multiply to -1, assuming neither line is horizontal nor vertical. If the original slope is 2, then its perpendicular counterpart is -1/2. We can apply the negative reciprocal to 2 and that leads to -1/2.
If the original slope is 1/2, then we flip the fraction to 2/1 aka 2. Then flip the sign to -2. Therefore, 1/2 and -2 are perpendicular slopes.
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To recap:
- Parallel lines have equal slopes
- Perpendicular lines have the slopes multiply to -1 (assuming neither line is horizontal nor vertical). Use the negative reciprocal to go from one slope to the other.
