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

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- steve816

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- triciaal

when the lines are parallel how are the slopes related?
when the lines are perpendicular how are the slopes related?

- triciaal

you have the equation of a line rearrange and determine the slope

- 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

A demonstration would be really appreciated.

- triciaal

you have a second point (rt 3, 1)

- steve816

Yes

- triciaal

for any given line the slope is the same through any 2 points on that line |dw:1440210541130:dw|

- triciaal

|dw:1440210622551:dw|

- steve816

Okay thanks for clarifying on the point slope form.

- steve816

now how would i find the perpendicular and parallel lines?

- triciaal

|dw:1440210769085:dw|

- steve816

I know the basics. I know that the slope stays the same but the y intercept is different.

- triciaal

|dw:1440210854947:dw|

- steve816

they are negative??

- triciaal

yes. parallel lines have the same slope

- triciaal

no exactly for perpendicular lines the product of the slopes is -1

- triciaal

* not

- 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

now please review the complete post and then answer the question completely

- steve816

Alright.

- steve816

There are infinitely many parallel and perpendicular lines right?

- triciaal

focus on this question

- steve816

And what do you mean by the product of the slope is -1 for perpendicular lines?

- triciaal

|dw:1440211452873:dw|

- triciaal

product is what you get when you multiply 2 terms

- steve816

Ohhh okay this makes more sense about perpendicular lines now, thanks

- steve816

|dw:1440208587394:dw|
Okay so I got the point slope form, but how would i change the equation to make it parallel?

- jennyrlz

i am not up to date with the problem, but for a line to be paralel the slope must be the same

- jennyrlz

aslo you would have to isolate the varioble, and simplify

- steve816

Actually I got it :D YAAAY

- jennyrlz

YAY :D. congrats :)

- jennyrlz

-clap,clap,clap-

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