Question

The coordinates of an ordered pair have opposite signs. In which quadrants must the ordered pair lie? Explain.

Answer 1

@Hazel2004

Answer 2

First off, you should consider that there 4 Quadrants when graphing Ordered Pairs.
Quadrant 1(The one you start with): BOTH the X-axis and the Y-axis are positive
Quadrant 2(Left of Quadrant 1): The X-axis is now negative hence the numbers are going backwards, but the Y-axis is still positive since its still going up.
Quadrant 3(Under Quadrant 2): Here both X and Y-axis are negative.
Quadrant 4( Right under Quadrant 1): Here the Y-axis is Negative since its going down and the X- axis is positive since it is still going to the right.

So this is how the quadrants follow(Picture each number as a square and notice the order in which I place the positive and negative signs.)

( - , + ) 2nd 1st ( + , + )


( - , - ) 3rd 4th ( + , - )


So Considering that the signs are opposite, Quadrant 1 and 3 are ruled out of the question and leaving only the 2nd and 4th quadrant. Now if x is negative and y is positive, then the 2nd. If x is positive and y is negative, then the 4th. Hope this wasnt too confusing. :D

Answer 3

thanks