An ordered pair with opposite signs means that one coordinate is positive and the other is negative.
In the coordinate plane, the positive x-axis is to the right of the origin and the positive y-axis is above the origin.
Quadrant I is where both coordinates are positive. Quadrant II is where the x-coordinate is negative and the y-coordinate is positive. Quadrant III is where both coordinates are negative. Quadrant IV is where the x-coordinate is positive and the y-coordinate is negative.
Therefore, an ordered pair with opposite signs can only lie in either quadrant II or IV since those are the only quadrants where the signs of the coordinates differ.
graphing the coordinate plane
The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain.
5 answers
The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain.
An ordered pair with opposite signs means that one coordinate is positive and the other is negative. In the coordinate plane, the positive x-axis is to the right of the origin and the positive y-axis is above the origin. The negative x-axis is to the left of the origin and the negative y-axis is below the origin.
Quadrant I is where both coordinates are positive. Quadrant II is where the x-coordinate is negative and the y-coordinate is positive. Quadrant III is where both coordinates are negative. Quadrant IV is where the x-coordinate is positive and the y-coordinate is negative.
Therefore, an ordered pair with opposite signs can only lie in either quadrant II or IV since those are the only quadrants where the signs of the coordinates differ. For example, (-3, 5) would be in quadrant II and (1, -7) would be in quadrant IV.
Quadrant I is where both coordinates are positive. Quadrant II is where the x-coordinate is negative and the y-coordinate is positive. Quadrant III is where both coordinates are negative. Quadrant IV is where the x-coordinate is positive and the y-coordinate is negative.
Therefore, an ordered pair with opposite signs can only lie in either quadrant II or IV since those are the only quadrants where the signs of the coordinates differ. For example, (-3, 5) would be in quadrant II and (1, -7) would be in quadrant IV.
The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain.
An ordered pair with opposite signs means that one coordinate is positive and the other is negative. In the coordinate plane, the positive x-axis is to the right of the origin and the positive y-axis is above the origin. The negative x-axis is to the left of the origin and the negative y-axis is below the origin.
Quadrant I is where both coordinates are positive. Quadrant II is where the x-coordinate is negative and the y-coordinate is positive. Quadrant III is where both coordinates are negative. Quadrant IV is where the x-coordinate is positive and the y-coordinate is negative.
Thus, an ordered pair with opposite signs can only lie in quadrant II or quadrant IV because they are the only quadrants where the signs of the coordinates are opposite from each other. For example, (-4,2) would be in quadrant II, and (3,-5) would be in quadrant IV.
Quadrant I is where both coordinates are positive. Quadrant II is where the x-coordinate is negative and the y-coordinate is positive. Quadrant III is where both coordinates are negative. Quadrant IV is where the x-coordinate is positive and the y-coordinate is negative.
Thus, an ordered pair with opposite signs can only lie in quadrant II or quadrant IV because they are the only quadrants where the signs of the coordinates are opposite from each other. For example, (-4,2) would be in quadrant II, and (3,-5) would be in quadrant IV.