SOLUTION: Directions:Tell whether the line throught the given points are parellel,penpendicular,or niether . Justify your answer . Line 1: (1,0)(7,4) Line 2: (7,0)(3,6) *Now my que

Algebra ->  Points-lines-and-rays -> SOLUTION: Directions:Tell whether the line throught the given points are parellel,penpendicular,or niether . Justify your answer . Line 1: (1,0)(7,4) Line 2: (7,0)(3,6) *Now my que      Log On


   



Question 163652: Directions:Tell whether the line throught the given points are parellel,penpendicular,or niether . Justify your answer .

Line 1: (1,0)(7,4)
Line 2: (7,0)(3,6)
*Now my question is how do you know if it is one of the three lines .(Perpendicular,Parellel,or niether).And How can I justify it ??

Found 2 solutions by Fombitz, scott8148:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You need to calculate the slope for both lines and compare.
Parallel lines have identical slopes m%5B1%5D=m%5B2%5D
Perpendicular lines have slopes that are negative reciprocals m%5B1%5D%2Am%5B2%5D=-1.
If it meets neither of these, then it fits the neither category.
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First calculate the slopes,
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
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m%5B1%5D=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m%5B1%5D=%284-0%29%2F%287-1%29
m%5B1%5D=%284%29%2F%286%29=2%2F3
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m%5B2%5D=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m%5B2%5D=%286-0%29%2F%283-7%29
m%5B2%5D=%286%29%2F%28-4%29=-3%2F2
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Looks like they're perpendicular because,
m%5B2%5D=-1%2Fm%5B1%5D
of
m%5B1%5D%2Am%5B2%5D=-1
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You can graph the points connect them with lines and check to verify your answer.
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Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
parallel lines have the same slope

perpendicular lines have slopes that are negative reciprocals of each other

everything else is neither

slope 1 __ (4-0)/(7-1) __ 4/6 or 2/3

slope 2 __ (6-0)/(3-7) __ 6/(-4) or -3/2

looks like prependicular