SOLUTION: Determine whether the line through P1 and P2 is parallel, perpendicular, or neither parallel nor perpendicular to the line through Q1 and Q2. 1). P1(4,-5)P2(6,-9);Q1(5,-4)Q2(1,4

Algebra ->  Linear-equations -> SOLUTION: Determine whether the line through P1 and P2 is parallel, perpendicular, or neither parallel nor perpendicular to the line through Q1 and Q2. 1). P1(4,-5)P2(6,-9);Q1(5,-4)Q2(1,4      Log On


   

Question 431948: Determine whether the line through P1 and P2 is parallel, perpendicular, or neither parallel nor perpendicular to the line through Q1 and Q2.
1). P1(4,-5)P2(6,-9);Q1(5,-4)Q2(1,4)
2). P1(5,1)P2(3,-2);Q1(0,-2)Q2(3,-4)
3). P1(1,-1)P2(3,-2);Q1(-4,1)Q2(2,-5)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Using the point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

P1(4,-5)

P2(6,-9)  m = 4/-2 = -2

Q1(5,-4)

Q2(1, 4)  m = -8/4 = -2

line through P1 and P2 is parallel to the line through Q1 and Q2.



P1(5, 1)

P2(3,-2) m = 3/2

Q1(0,-2)

Q2(3,-4) m = 2/-3 = -2/3

line through P1 and P2 is perpendicular to the line through Q1 and Q2.



P1(1,-1)

P2(3,-2) m = 1/-2 = -1/2

Q1(-4,1)

Q2(2,-5) m = 6/-6 = -1

the line through P1 and P2 is neither parallel nor perpendicular 

to the line through Q1 and Q2.