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Determine of which lines, if any, are parallel or perpendicular. Explain.
Line a passes through (-2, 1) and (0,3).
Line b passes through (4,1) and (6,4).
Line c passes through (1,3) and (4,1).

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Answer:

lines b and c are perpendicular

Step-by-step explanation:

Use slope

slope for parallel is the same

slope for perpendicular is negative reciprocal

line a slope- 1-3/-2-0 is -2/-2 or 1

line b slope- 1-4/4-6 is -3/-2 or 3/2

line c slope- 3-1/1-4 is 2/-3 or - 2/3

none are the same so none are parallel

- 2/3 is the negative reciprocal of 3/2 so lines b and c are perpendicular

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