Answer:
PQ and RS are parallel to each other
Step-by-step explanation:
Slope of two points (x1,y1) and (x2,y2) is given by
slope = (y2-y1)/(x2-x1)
- for two lines to be parallel slope should be equal
- for two lines to be perpendicular product of slope should be -1
- _______________________________________________
Lets find the slope of PQ and RS
for PQ P(2, -1), Q(-3,-1), R(-11, 9), S(-7, 9)
slope PQ = (-1 -(-1))/(-3 -2) = (-1 + 1)/5 = 0/5 = 0
Slope RS = (9-9)/(-7 - (-11) ) = 0/4 = 0
Since
slope PQ = slope RS = 0
Hence PQ and RS are parallel to each other
