Is the line through points P(-7,2) and Q(7,-6) parallel to the line through points R(14,0) and S(7,4). How do you know?(1 point) Responses Yes; both lines are vertical Yes; both lines are vertical Yes, the lines have equal slopes Yes, the lines have equal slopes No; the lines have unequal slopes No; the lines have unequal slopes No, one line has a zero slope and the other has no slop

Answer 1

No, one line has a zero slope and the other has no slope. The line through points P(-7,2) and Q(7,-6) has a slope of (2 - (-6)) / (-7 - 7) = -8/14 = -4/7. The line through points R(14,0) and S(7,4) has a slope of (0 - 4) / (14 - 7) = -4/7. Since the slopes of the two lines are not equal, they are not parallel.