- ABecause −6 is smaller than 2, so the points must fall in different halves of the plane.
- BBecause (−6, 2) has a negative abscissa with a positive ordinate, which is quadrant II, while (2, −6) has a positive abscissa with a negative ordinate, which is quadrant IV.
- CBecause the point built from the larger numbers always lies in a lower quadrant.
- DThey actually lie in the same quadrant, since the coordinates are the same two numbers.
Step-by-Step Solution
The order of an ordered pair decides which number is the abscissa and which is the ordinate, and therefore which coordinate carries the minus sign. (−, +) is quadrant II and (+, −) is quadrant IV.
Answer: B) Because (−6, 2) has a negative abscissa with a positive ordinate, which is quadrant II, while (2, −6) has a positive abscissa with a negative ordinate, which is quadrant IV.