In which quadrant is the ordered pair (−7, 11) located?
(1 point)
Responses
II
II
III
III
I
I
IV
IV
Skip to navigation
III
To determine which quadrant the ordered pair (-7, 11) is located in, we need to consider the signs of its coordinates.
In the coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.
Quadrant I is the top right quadrant, where both the x and y coordinates are positive.
Quadrant II is the top left quadrant, where the x coordinate is negative and the y coordinate is positive.
Quadrant III is the bottom left quadrant, where both the x and y coordinates are negative.
Quadrant IV is the bottom right quadrant, where the x coordinate is positive and the y coordinate is negative.
Since the x-coordinate of the ordered pair (-7, 11) is negative and the y-coordinate is positive, it is located in Quadrant II.
To determine the quadrant in which the ordered pair (-7, 11) is located, we need to consider the signs of the x-coordinate (-7) and the y-coordinate (11).
In the Cartesian coordinate system, the x-axis represents the horizontal axis and is divided into two parts: the positive x-axis to the right of the origin (quadrants I and IV) and the negative x-axis to the left of the origin (quadrants II and III).
Similarly, the y-axis represents the vertical axis and is divided into two parts: the positive y-axis above the origin (quadrants I and II) and the negative y-axis below the origin (quadrants III and IV).
In the given ordered pair (-7, 11), the x-coordinate (-7) is negative, indicating that it lies to the left of the origin.
The y-coordinate (11) is positive, indicating that it lies above the origin.
Since (-7, 11) has a negative x-coordinate and a positive y-coordinate, it falls in Quadrant II.
Therefore, the answer is II.