Slopes of line

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by ngalinh » Tue Aug 27, 2013 6:22 pm
lunarpower wrote:
the way you build intuition is to look really hard (during review) for things you didn't see, or methods/tactics you didn't think of using, during the first go.
i do exact this thing and unfortunately made CR more complicated. Maybe my intuition is on its half way coming out?
i try to overcome reading exhaustion by investigating the ways factors are linked, but am still missing something. It's similar to what happens when I learn to quite my mind. The quieter my mind become, the more distraction I get. Why? Because I can sense and see more, so think more. But it doesn't mean I go the wrong direction (believe). Just keep going and hope to not fall into a hole.

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by [email protected] » Tue Aug 27, 2013 6:47 pm
lunarpower wrote:
ngalinh wrote:This way of explanation is most helpful for us. I wish I can see at least one explanation (like this one) of each question type.
Thanks RON.
what do you mean by "question type" here? like, multiple choice vs. data sufficiency?


I have two questions which might sound very basic:

1) Why line with a slope one

2) Could you please draw the same and show!I mean the graph?

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by lunarpower » Tue Sep 03, 2013 9:57 am
ngalinh wrote:thanks Ron!
reading your posts makes me want to ...cry. You might have to imagine the difficulties of an international gmat student and you did it very well. I will put into practice what Ron-called "getting personal involvement" and "reading in structure" (I customized the words a bit)
The whole personal-involvement thing is not just a problem faced by English-as-a-second-language students; it's a problem faced by ALL students.

In fact -- perhaps ironically -- this is often an even greater issue for students whose first language is English, since those students often just read and regurgitate the words that are literally presented in the passage, without really processing those words. (This is one of the unfortunate effects of the typical classroom environment on most people; it dampens their ability to think about what they're reading, most likely because of all those years of mindlessly memorizing things.)
The English-as-a-second-language crowd at least has to translate the words into their own native languages. That's a hassle, but the upside is that "mindless regurgitation" is pretty much off the table as a possibility.
(about my writing, I attribute the improvement to all your SC sessions on Thursday With Ron, except some better errors in my writing. I got 5 AWA even hadn't finished the essay yet due to pressure.)
That's awesome. Well done.
And, thanks.
Ron has been teaching various standardized tests for 20 years.

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by ngalinh » Tue Sep 03, 2013 11:17 am
I see, I see. I should see it like an interesting-chalenging game, not something that I have to overcome. Life is to enjoy, not to endure.

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by lunarpower » Tue Sep 03, 2013 12:09 pm
ngalinh wrote:I see, I see. I should see it like an interesting-chalenging game, not something that I have to overcome. Life is to enjoy, not to endure.
Well, ideally, sure. Although you should be able to endure things, too.
(The "enjoy" thing is ideal if it's reasonable -- but trying to have that attitude 100% of the time is like being a spoiled child.)

In any case, this thread appears to have departed quite far from slopes of lines, so we should probably kill this digression now. It's been ... enjoyable!
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by ngalinh » Tue Sep 03, 2013 2:53 pm
lunar power wrote:

Well, ideally, sure. Although you should be able to endure things, too.
(The "enjoy" thing is ideal if it's reasonable -- but trying to have that attitude 100% of the time is like being a spoiled child.)
If you come to the point you feel as if you cannot endure all things anymore, you'll turn from "endure" to "enjoy" all tasks that life throws into you once at once. You then see how amazing the neocortex of human beings is. (to adapt)
In any case, this thread appears to have departed quite far from slopes of lines, so we should probably kill this digression now. It's been ... enjoyable!
Specific look: yes, it seems to go quite far from the topic.
General look: no, it may point out the root of many problems, including problems that one deals with the gmat.

To me, anything that ties my attention to the gmat is the right thing I spend time for :)

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by Java_85 » Tue Sep 03, 2013 5:08 pm
You're right the answer is E and by plotting the lines you can see they are not parallel. But to prove this you should plot a line b with any slope else than 1, Because for slpe 1 this statement is true but not for other slopes.

Thanks,
lunarpower wrote:
psm12se wrote:Lines a and b have different y-intercepts. When line a is reflected around the y-axis, is its reflection parallel to line b?

(1) Line a is perpendicular to line b.

(2) The slope of line b > 0.

Source: Grockit

OA: E

While solving this problem, I thought the answer is A, but it turns out to be E
To prove that it's (e):
* Draw line b with slope 1. Then draw line a perpendicular to it. Then do the reflection, and watch what happens.
* Draw line b with any positive slope in the world except 1. Then draw line a perpendicular to it. Then do the reflection, and watch what happens.

Give it a shot.

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by lunarpower » Tue Sep 03, 2013 9:02 pm
ngalinh wrote:If you come to the point you feel as if you cannot endure all things anymore, you'll turn from "endure" to "enjoy" all tasks that life throws into you once at once. You then see how amazing the neocortex of human beings is. (to adapt)
This is actually the idea behind the whole "gamification" movement -- the idea of turning "tasks" into "games". It's the whole idea behind Nike+ and Foursquare, have made "games" out of running and simply going to your favorite stores/restaurants, respectively. It's also the same idea when, say, parents make their kids "race" to, say, get their shoes on, or do some other mundane / normally boring task.
You may want to google "gamification" and read more about it.

In fact, they've even made a video game out of figuring out how a certain protein folds (which is an almost unimaginably boring task otherwise):
https://www.nytimes.com/2010/08/05/scien ... otein.html
To me, anything that ties my attention to the gmat is the right thing I spend time for :)
Fair enough.
Ron has been teaching various standardized tests for 20 years.

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by lunarpower » Tue Sep 03, 2013 9:04 pm
Java_85 wrote:You're right the answer is E and by plotting the lines you can see they are not parallel. But to prove this you should plot a line b with any slope else than 1, Because for slpe 1 this statement is true but not for other slopes.
Of course, you're correct here -- but, you're also quoting my post, which already says exactly the same thing. Are you trying to add information? If so, what?

By the way, note that you haven't actually proved "insufficient" until you plot BOTH kinds of lines -- one pair with slopes of ±1, and one pair with slopes of ±anything else.
I.e., getting a "no" by itself doesn't prove "insufficient". You have to get BOTH a "yes" and a "no" to prove insufficiency.
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by ngalinh » Wed Sep 04, 2013 3:35 am
lunarpower wrote: "gamification"
that's amazing, Ron! why don't you tell us earlier?! (not a question)... my happiest day... Fall is coming with leaves r dancing in rain... You're simply amazing, Ron!

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by lunarpower » Wed Sep 04, 2013 8:30 pm
thanks.
Ron has been teaching various standardized tests for 20 years.

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