SOLUTION: Determine whether the lines that pass through the following pairs of points are parallel, perpendicular, or neither. The line that passes through (3, 3) and (6, 4), and the lin

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: Determine whether the lines that pass through the following pairs of points are parallel, perpendicular, or neither. The line that passes through (3, 3) and (6, 4), and the lin      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 365758: Determine whether the lines that pass through the following pairs of points are parallel, perpendicular, or neither.
The line that passes through (3, 3) and (6, 4), and the line that passes through (7, 1) and (1, -1).

Answer by robertb(4012) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the line through (3,3)and (6,4) is %284-3%29%2F%286-3%29+=+1%2F3.
The slope of the line through (7,1)and (1,-1) is %28-1-1%29%2F%281-7%29+=+-2%2F-6+=+1%2F3. The lines being distinct(why?) and having the same slope, the two lines are parallel.