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Is the line through points P(0, 1) and Q(5, 0) parallel to the line through points R(–4, 3) and S(–5, 4)? Explain.

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The parallel lines have the same a slope.

The formula of a slope:


m=(y_2-y_1)/(x_2-x_1)

We have

P(0, 1), Q(5, 0). Substitute:


m_(PQ)=(0-1)/(5-0)=(-1)/(5)=-(1)/(5)

R(-4, 3), S(-5, 4). Substitute:


m_(RS)=(4-3)/(-5-(-4))=(1)/(-5+4)=(1)/(-1)=-1


m_(PQ)\\eq m_(RS)

Therefore the lines PQ and RS are not parallel.

Is the line through points P(0, 1) and Q(5, 0) parallel to the line through points-example-1
User Zachary Garrett
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