SOLUTION: Lines l1 and l2 past through the given points. Determine if l1 and l2 are parallel, perpendicular, or neither. l1: (1,3) and (0,0) l2: (0,7) and (-2,1) How would you sol

Algebra ->  Linear-equations -> SOLUTION: Lines l1 and l2 past through the given points. Determine if l1 and l2 are parallel, perpendicular, or neither. l1: (1,3) and (0,0) l2: (0,7) and (-2,1) How would you sol      Log On


   

Question 1126444: Lines l1 and l2 past through the given points. Determine if l1 and l2 are parallel, perpendicular, or neither.
l1: (1,3) and (0,0)
l2: (0,7) and (-2,1)

How would you solve in order to compare? Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the slope formula to find the slope of the line through (1,3) and (0,0)

(x1,y1) = (1,3) and (x2,y2) = (0,0)

m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

m+=+%280+-+3%29%2F%280+-+1%29

m+=+%28-3%29%2F%28-1%29

m+=+3

The slope of line L1 is 3

--------------------------------------------------------

Repeat these steps to find the slope of line L2

(x1,y1) = (0,7) and (x2,y2) = (-2,1)

m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

m+=+%281+-+7%29%2F%28-2+-+0%29

m+=+%28-6%29%2F%28-2%29

m+=+3

The slope of line L1 is also 3

--------------------------------------------------------

Both lines L1 and L2 have the same slope 3, so the two lines are parallel as this graph shows below

These two parallel lines will never intersect.