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Which of the following lines do not contain coordinate points that are

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Which of the following lines do not contain coordinate points that are [#permalink]

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Which of the following lines do not contain coordinate points that are both negative?

A. y = x + 2
B. 3y = 4x - 2
C. x + y = 2
D. 3y - 4x = 2
E. x - y = 2
[Reveal] Spoiler: OA

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Re: Which of the following lines do not contain coordinate points that are [#permalink]

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New post 12 Nov 2017, 03:11
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Bunuel wrote:
Which of the following lines do not contain coordinate points that are both negative?

A. y = x + 2
B. 3y = 4x - 2
C. x + y = 2
D. 3y - 4x = 2
E. x - y = 2


In this problem, we are looking whether the Line pass through third quadrant . conceptually , any line that has Positive slope (Upward slope) will pass through third quadrant , that is, the line has either x or y or both coordinate points as negative .
We have to find the line in the choice that has negative slope and Positive y - intercept that is , it doesn't pass through the third quadrant
Only Choice C written in slope intercept form satisfies the condition .

Alternatively , you can substitute " Zero " for x and y in each equation to find the x and y coordinate points.
Only Choice C has both x and y coordinate points has Positive .

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Re: Which of the following lines do not contain coordinate points that are [#permalink]

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New post 12 Nov 2017, 04:22
for this question you have to just find the slope of the each line. If the slope of the line is negative that it will not pass through 3rd quadrant.

Convert the each line to y=mx + C form . In this m is the slope of the line. if for any line m is negative that will be our required answer.

Detailed Explanation of why we are searching for the line whose slope is negative and that will be the answer- Please see the attachment

Also, slope is nothing but the angle made by a line with the x- axis in anticlock wise direction.
Attachments

IMG_20171112_164559.jpg
IMG_20171112_164559.jpg [ 1.39 MiB | Viewed 243 times ]

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Re: Which of the following lines do not contain coordinate points that are   [#permalink] 12 Nov 2017, 04:22
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Which of the following lines do not contain coordinate points that are

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