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Which of the following points is not on the line y=5x + 3?

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Which of the following points is not on the line y=5x + 3? [#permalink] New post 14 Dec 2007, 10:33
Which of the following points is not on the line y=5x + 3?

1/2, 11/2
1/3, 14/3
sqrt8, 3+10sqrt2
sqrt4, 13
sqrt2, 31/3

Can someone please explain the shortcut?
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Re: points not on a line [#permalink] New post 14 Dec 2007, 10:41
bmwhype2 wrote:
Which of the following points is not on the line y=5x + 3?

1/2, 11/2
1/3, 14/3
sqrt8, 3+10sqrt2
sqrt4, 13
sqrt2, 31/3

Can someone please explain the shortcut?


The shortcut is you don't need to even calculate this problem to be able to recognize that choice E is the answer.

If x is sqrt2, then y should be a number with sqrt2 in it. The question did not ask you to approximate or anything, obviously 31/3 for y is not possible. You can be confident that E is the answer in maybe 5 seconds.
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Re: points not on a line [#permalink] New post 14 Dec 2007, 10:46
eileen1017 wrote:
bmwhype2 wrote:
Which of the following points is not on the line y=5x + 3?

1/2, 11/2
1/3, 14/3
sqrt8, 3+10sqrt2
sqrt4, 13
sqrt2, 31/3

Can someone please explain the shortcut?


The shortcut is you don't need to even calculate this problem to be able to recognize that choice E is the answer.

If x is sqrt2, then y should be a number with sqrt2 in it. The question did not ask you to approximate or anything, obviously 31/3 for y is not possible. You can be confident that E is the answer in maybe 5 seconds.


I dont follow. A coordinate is on a given line if we can plug in the coordinates and the equation nets out on both sides equally.

Why "If x is sqrt2, then y should be a number with sqrt2 in it. "?
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 [#permalink] New post 14 Dec 2007, 10:46
Put the values of x and y in the equation and solve it. There is no other shortcut. Also, the point are very simple even though it looks difficult at first. Answer is 'e'
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Re: points not on a line [#permalink] New post 14 Dec 2007, 10:51
bmwhype2 wrote:
eileen1017 wrote:
bmwhype2 wrote:
Which of the following points is not on the line y=5x + 3?

1/2, 11/2
1/3, 14/3
sqrt8, 3+10sqrt2
sqrt4, 13
sqrt2, 31/3

Can someone please explain the shortcut?


The shortcut is you don't need to even calculate this problem to be able to recognize that choice E is the answer.

If x is sqrt2, then y should be a number with sqrt2 in it. The question did not ask you to approximate or anything, obviously 31/3 for y is not possible. You can be confident that E is the answer in maybe 5 seconds.


I dont follow. A coordinate is on a given line if we can plug in the coordinates and the equation nets out on both sides equally.

Why "If x is sqrt2, then y should be a number with sqrt2 in it. "?


This is simple, you plug in the sqrt2 to the original equation of line y=5x+3; since x is sqrt2, y has to be 5sqrt2 +3, not 31/3. This is what I mean "If x is sqrt2, then y should be a number with sqrt2 in it."
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 [#permalink] New post 14 Dec 2007, 13:13
Expert's post
in other words, a rational number gives a rational number, a irrational number gives a irrational one. really 10sec shortcut.
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 [#permalink] New post 16 Dec 2007, 17:04
alright figured it out.

asked an engineering buddy and he said the line is linear, so the input of the x coordinate expression must be the same as the y coordinate expression. :-D
  [#permalink] 16 Dec 2007, 17:04
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Which of the following points is not on the line y=5x + 3?

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