SOLUTION: (I really hope I put this in the correct category) Decide whether the lines given are parallel, perpendicular, or neither. The line through (-7,4) and (-2,-3) and the line thro

Algebra ->  Linear-equations -> SOLUTION: (I really hope I put this in the correct category) Decide whether the lines given are parallel, perpendicular, or neither. The line through (-7,4) and (-2,-3) and the line thro      Log On


   

Question 1052524: (I really hope I put this in the correct category)
Decide whether the lines given are parallel, perpendicular, or neither. The line through (-7,4) and (-2,-3) and the line through (5,-10) and (10,-17)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate the slope of each line, then compare.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m%5B1%5D=%28-3-4%29%2F%28-2-%28-7%29%29
m%5B2%5D=%28-17-%28-10%29%29%2F%2810-5%29
If they are the same, the lines are parallel.
m%5B1%5D=m%5B2%5D
If they are negative reciprocals, the lines are perpendicular.
m%5B1%5D%2Am%5B2%5D=-1
Else, they are neither.