anonymous
  • anonymous
determine if the line containing points a and b is perpendicular, parallel or neither to the line containing points c and d. A (4,0) B (1,9) C (5,3) D(0,6)
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
find the slope of the line connecting the points A and B find the slope of the line connecting the points C and D post your answer here.
anonymous
  • anonymous
do you know how to find the slope when two points are given?
anonymous
  • anonymous
IS SLOPE 3 LINE C,D 3/5

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anonymous
  • anonymous
-3/5
anonymous
  • anonymous
the slope of line CD is -3/5 what is the slope of the line AB?
anonymous
  • anonymous
3
anonymous
  • anonymous
sure? it is (9-0)/(1-4)
anonymous
  • anonymous
-3
anonymous
  • anonymous
okay good so what is the condition for two lines to be parallel and perpendicular to each other?
anonymous
  • anonymous
HAVE SAME SLOPE
anonymous
  • anonymous
you have to be more specific than that. what are you talking about?
anonymous
  • anonymous
SO ITS PARALLEL
anonymous
  • anonymous
okay, the lines are parallel if the slopes are the same. is -3 equal to -3/5?
anonymous
  • anonymous
NO
anonymous
  • anonymous
idk thats the part i get confused on
anonymous
  • anonymous
okay, the two slopes are not the same. there fore the two lines are not parallel. now, what is the condition for two lines to be perpendicular?
anonymous
  • anonymous
their slope are negative reciprocal of each other
anonymous
  • anonymous
okay so what is the negative reciprocal of -3?
anonymous
  • anonymous
-3/1
anonymous
  • anonymous
no, try again. if x is your number, -(1/x) is its negative reciprocal
anonymous
  • anonymous
so if -3 is your number, what is its negative reciprocal?
anonymous
  • anonymous
-1/3
anonymous
  • anonymous
no! it is -(1/(-3)) = 1/3. so, is 1/3 equal to -3/5?
anonymous
  • anonymous
no
anonymous
  • anonymous
so then the lines are not perpendicular. So your answer is the lines are neither parallel nor perpendicular to each other.
anonymous
  • anonymous
k i thnk i get it sorry kinda a slow today appreciate your patience:) gonna try these other similiar problems thanks again....
anonymous
  • anonymous
okay you are welcome.

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