SOLUTION: Are the pairs of lines parallel, perpendicular or neither. Line 1 through (8,5) and (3,-2) Line 2 through (-2,4) and (4,-1)

Algebra ->  Equations -> SOLUTION: Are the pairs of lines parallel, perpendicular or neither. Line 1 through (8,5) and (3,-2) Line 2 through (-2,4) and (4,-1)      Log On


   

Question 42188: Are the pairs of lines parallel, perpendicular or neither.
Line 1 through (8,5) and (3,-2)
Line 2 through (-2,4) and (4,-1)
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Slope of a line passing through points (x1,y1) and (x2,y2) is %28y1-y2%29%2F%28x1-x2%29.

Two lines are parallel if their slopes are equal.
Two lines are perpendicular if the product of their slopes is -1.

Slope of line 1 is %285-%28-2%29%29%2F%288-3%29 = 7%2F5.
Slope of line 2 is %284-%28-1%29%29%2F%28-2-4%29 = -5%2F6.

Here neither the condition for parallism nor that of perpendicularity is satisfied.
So the lines are neither parallel nor perpendicular to each other.