steve816
  • steve816
I really need help! Given the line 3x-5y=7, find the point-slope form of the equation of a line through (√3,1) that is A. parallel to the given line B. perpendicular to the given line
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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triciaal
  • triciaal
when the lines are parallel how are the slopes related? when the lines are perpendicular how are the slopes related?
triciaal
  • triciaal
you have the equation of a line rearrange and determine the slope
steve816
  • steve816
I forgot everything about the parallel and perpendicular relations because I learned this in algebra but it wasn't taught in algebra 2 :(

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steve816
  • steve816
A demonstration would be really appreciated.
triciaal
  • triciaal
you have a second point (rt 3, 1)
steve816
  • steve816
Yes
triciaal
  • triciaal
for any given line the slope is the same through any 2 points on that line |dw:1440210541130:dw|
triciaal
  • triciaal
|dw:1440210622551:dw|
steve816
  • steve816
Okay thanks for clarifying on the point slope form.
steve816
  • steve816
now how would i find the perpendicular and parallel lines?
triciaal
  • triciaal
|dw:1440210769085:dw|
steve816
  • steve816
I know the basics. I know that the slope stays the same but the y intercept is different.
triciaal
  • triciaal
|dw:1440210854947:dw|
steve816
  • steve816
they are negative??
triciaal
  • triciaal
yes. parallel lines have the same slope
triciaal
  • triciaal
no exactly for perpendicular lines the product of the slopes is -1
triciaal
  • triciaal
* not
triciaal
  • triciaal
so back to the question you have the equation of the line in standard form you can rearrange and find the slope Part A parallel lines have the same slope and you have a point on that line find the equation of the parallel line to the one given Part B you can find the slope of the line perpendicular to the one given then using the given point and (x, y) you can find the equation of the line perpendicular to the original one given
triciaal
  • triciaal
now please review the complete post and then answer the question completely
steve816
  • steve816
Alright.
steve816
  • steve816
There are infinitely many parallel and perpendicular lines right?
triciaal
  • triciaal
focus on this question
steve816
  • steve816
And what do you mean by the product of the slope is -1 for perpendicular lines?
triciaal
  • triciaal
|dw:1440211452873:dw|
triciaal
  • triciaal
product is what you get when you multiply 2 terms
steve816
  • steve816
Ohhh okay this makes more sense about perpendicular lines now, thanks
steve816
  • steve816
|dw:1440208587394:dw| Okay so I got the point slope form, but how would i change the equation to make it parallel?
jennyrlz
  • jennyrlz
i am not up to date with the problem, but for a line to be paralel the slope must be the same
jennyrlz
  • jennyrlz
aslo you would have to isolate the varioble, and simplify
steve816
  • steve816
Actually I got it :D YAAAY
jennyrlz
  • jennyrlz
YAY :D. congrats :)
jennyrlz
  • jennyrlz
-clap,clap,clap-

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