anonymous
  • anonymous
Identifying parallel and perpendicular lines from coordinates...Help!
Mathematics
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anonymous
  • anonymous
Identifying parallel and perpendicular lines from coordinates...Help!
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
This is the one...
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anonymous
  • anonymous
anonymous
  • anonymous
Do you know how to use this equation to find the slope of a line?\[m=\frac{ y_2-y_1 }{ x_2-x_1 }\]

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anonymous
  • anonymous
yes
anonymous
  • anonymous
great. you want to start by using that equation to get the slopes of the three lines
anonymous
  • anonymous
0/3 for the first one
anonymous
  • anonymous
I got m = (8 - 2) /(-3 - 0) = 6/(-3) = -2
anonymous
  • anonymous
Its confusing
anonymous
  • anonymous
you have to enter the points into the equation|dw:1444407766451:dw|
anonymous
  • anonymous
oooohh i was doing something else but I understand now
anonymous
  • anonymous
then that reduces to \[m=\frac{ -6 }{ 3 }\] \[m=-2\]
anonymous
  • anonymous
yeah so the first one is -2
anonymous
  • anonymous
yep. try the 2nd one
anonymous
  • anonymous
8/-4
anonymous
  • anonymous
yes and what does that reduce to?
anonymous
  • anonymous
2/1
anonymous
  • anonymous
-2 actually
anonymous
  • anonymous
now the third
anonymous
  • anonymous
ok 8/4 = 2
anonymous
  • anonymous
yep. ok so the three slopes are line 1 = -2 line 2 = -2 line 3 = 2
anonymous
  • anonymous
for part b. parallel lines have the same slope, so lines 1 and 2 are parallel perpendicular lines have opposite reciprocal slopes. (like if one line has slope of 2, then the other must have slope of -½.) None of them are like that, so none of the lines are perpendicular
anonymous
  • anonymous
ok
anonymous
  • anonymous
@peachpi what about 6/9 , 2/-3 , 3/2
anonymous
  • anonymous
where did those numbers come from?
anonymous
  • anonymous
I did this one
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anonymous
  • anonymous
anonymous
  • anonymous
ok. reduce the first one to 2/3. for the 2nd one, once you're done with the math move the negative sign out front, so it's -2/3. None of them are the same, so none are parallel. 2/3 and -3/2 have different signs, and are reciprocals (aka flipped over). so the lines with those two slope are perpendicular
anonymous
  • anonymous
oops. the 3/2 is positive, so it's perpendicular to the line with slope of -2/3. That looks like lines 2 and 3 are perpendicular

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