Which pair of points could both appear on the same line, if that line : Two-Part Analysis Archive

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Which pair of points could both appear on the same line, if that line passes through the origin?

Please make one selection in each column, with column A containing the point with the lesser x-value and column B containing the point with the greater x-value.

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For a line to pass through the origin, there are really four options for the quadrants it can pass through. It can pass through quadrants I and III; it can pass through II and IV; it can pass directly through the x-axis; and it can pass directly through the y-axis. Point (-7, -4) is in quadrant III, and there isn't a matching quadrant I to go with it. Point (0, -3) is on the y-axis, and there isn't another point on the y-axis to match it. Similar for point (4, 0) which is on the x-axis with no pairing. Point (-6, 5) is in quadrant II and point (8, -3) is in quadrant III, so these two points could be on the same line that passes through the origin.
Source: VeritasPrep

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Official Answer

Col (A): (-6, 5)

Col (B): (8, -3)

Originally posted by nechets on 27 Dec 2013, 15:51.
Last edited by BottomJee on 01 Oct 2023, 05:49, edited 4 times in total.

Updated - Complete topic (165).