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- Thread starter LLS
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- #2

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If x is 12.3 can you give me a y such that y = x? If so thats the point (12.3,y)

If x is any value can you give me a y such that y = x? If so thats the point (x,y)

Do you see the solution now?

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If x is 12.3 can you give me a y such that y = x? If so thats the point (12.3,y)

If x is any value can you give me a y such that y = x? If so thats the point (x,y)

Do you see the solution now?

I don't think so. Would the answer be all of them?

Is there a specific number?

I'm sorry. It's just not clicking.

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An "S" shape is plotted. The points above the graph are symmetrical to the points on the bottom. The only point that is labeled is (1,1). The very center of the "S" is at (0,0).

At (1,1), (2,2) etc, y=x

The possibilities are infinite.

If I am on the right track, what would the answer be?

An infinite number?

- #6

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To answer your real question, consider drawing the graph of the line y=x, through your S shape. Then the number of points at which it intersects your S is the number of values on your graph where y = x.

Again, apologies for the confusion.

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If I did it correctly, There are 2 points that touch the "S" on each line. I drew lines at (1,1), (2,2), etc and at (0,0).

At 0, there are 3.

I don't know what the actual number is though. I'm still confused.

- #8

HallsofIvy

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I have no idea what you are talking about when you say "At 0, there are 3"! What do you mean "at 0"? Do you mean "at (0,0)" or "at x= 0" or "at y=0"? And there are 3

The problem is asking "where does this graph cross the line y= x?" That's difficult to answer here because it depends strongly on how accurate this graph is supposed to be and exactly where each end of the "S" ends. Can you draw the line y= x?

- #9

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Whatlines did you draw at (1,1), (2,2), etc.?

I have no idea what you are talking about when you say "At 0, there are 3"! What do you mean "at 0"? Do you mean "at (0,0)" or "at x= 0" or "at y=0"? And there are 3what?

The problem is asking "where does this graph cross the line y= x?" That's difficult to answer here because it depends strongly on how accurate this graph is supposed to be and exactly where each end of the "S" ends. Can you draw the line y= x?

Yes, at (0,0)

I don't understand what you mean by the line y=x. I don't know where to draw it, or how/why it's just one line.

I am sorry to confuse you. Things get lost in translation in this format.

I'm not getting the concept but I am trying hard.

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Yes, at (0,0)

I don't understand what you mean by the line y=x. I don't know where to draw it, or how/why it's just one line.

I am sorry to confuse you. Things get lost in translation in this format.

I'm not getting the concept but I am trying hard.

The line y = x consists of all the points where *drumroll...* y = x. For example, (0, 0), (1, 1), (2.439, 2.439), etc. Plot two of these points on the graph (maybe (0, 0) and (1, 1) ). The straight line that connects these points is y = x. It extends out infinitely past both points.

- #11

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The line y = x consists of all the points where *drumroll...* y = x. For example, (0, 0), (1, 1), (2.439, 2.439), etc. Plot two of these points on the graph (maybe (0, 0) and (1, 1) ). The straight line that connects these points is y = x. It extends out infinitely past both points.

I sort of understand that. But I still don't understand what the answer is.

How many are there? It seems that the number is infinite.

- #12

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I sort of understand that. But I still don't understand what the answer is.

How many are there? It seems that the number is infinite.

The number of points on the line y = x is infinite, but the number of points where the line y = x intersects your "S" is not. Draw the line y = x as well as the "S," and the points where the lines cross will be the intersection points.

For example, in http://education.yahoo.com/homework.../1/minialg2gt_12_1_1_27_110/f-438-1-we-1.gif", there are two points where the line intersects the ellipse.

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The number of points on the line y = x is infinite, but the number of points where the line y = x intersects your "S" is not. Draw the line y = x as well as the "S," and the points where the lines cross will be the intersection points.

For example, in http://education.yahoo.com/homework.../1/minialg2gt_12_1_1_27_110/f-438-1-we-1.gif", there are two points where the line intersects the ellipse.

3?

I don't think that I am drawing y=x correctly.

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- #15

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I came up with 2.

- #16

HallsofIvy

Science Advisor

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- #17

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Would you believe on a wing and a prayer?

Wow, I actually got the answer? Finally!?!?!?

2, 2, 2, 2, 2, 2....!!!!!!

Upper right?

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It's all I have. It might have been easier had the graph been better.

Thanx again

:)

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