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This year sucks online school can anyone help me pls god bless u

This year sucks online school can anyone help me pls god bless u-example-1

2 Answers

5 votes
Yes I will help youu
User Totokaka
by
4.2k points
8 votes

Answers:

  • a) 2
  • b) 1/2
  • c) -1/2
  • d) -2

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Step-by-step 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.
User Medoix
by
4.7k points