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Molodets [167]
3 years ago
14

Is the line through points P(2, –5) and Q(–5, –1) parallel to the line through points R(5, 4) and S(–2, 5)? Explain.

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer:

the answer is No

Step-by-step explanation:

Since the first line has a slope of -4/7 and the other line has a slope of -1/7. This can be shown in point slope form y-y1=m(x-x1) where m=∆y/∆x.

Through points P and Q, the point slope is represented as -1-(-5)=m(-5-2) ; 4 = -7m ; m = 4/-7. The next two points R and S can be shown in point slope as 5-4=m(-2-5) ; 1 = -7m ; m =1/-7. With the fact that parallel lines must have equal slopes, these two lines cannot be parallel because -4/7≠-1/7

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