Question 472863: Is the line through points P(1, 9) and Q(9, 6) perpendicular to the line through points R(-6, 0) and S(-9, 8)? Explain.
a. Yes; their slopes have product -1
b. No; their slopes are not opposite reciprocals.
c. No; their slopes are not equal
d. Yes; their slopes are equal
Found 2 solutions by ewatrrr, Alan3354:
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
Is the line through points P(1, 9) and Q(9, 6) perpendicular to the line
through points R(-6, 0) and S(-9, 8)?
Using the point-slope formula, 
P(1, 9) and
Q(9, 6) m = 3/-8 = -3/8
R(-6, 0) and
S(-9, 8) m = -8/3
b. No; their slopes are not opposite reciprocals.
(their slopes are only reciprocals-same sign)
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! Is the line through points P(1, 9) and Q(9, 6) perpendicular to the line through points R(-6, 0) and S(-9, 8)? Explain.
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Slope m = diffy/diffx
The slope of PQ is -3/8
The slope of RS is 8/-3 = -8/3
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b.
The lines will intersect, but they're not perpendicular.
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