Is The Line through points P(0, 5) and Q(-1, 8) parallel to the line through points R(3, 3) and S(5, -1)? Explain.

Question

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Answer 1

The slope of the line through P(0,5) and Q(-1,8) is ( 8 - 5) / ( -1 - 0) = 3/-1 = -3

The slope of the line through R(3,3) and S(5,-1) is (-1 - 3) / (5 -3) = -4/2 = -2

Parallel lines have the same slope, so these two lines are NOT parallel.