Identifying Quadrants Quick Check 5 of 55 of 5 Items Question Use the image to answer the question. Which of the following can be the value of x so that the ordered pair (x, −9) is located in Quadrant IV? (1 point) Responses 0 0 −1 negative 1 −7 negative 7 8 8 Skip to navigation
The answer is (positive) 7.
To determine the quadrant in which an ordered pair is located, we need to consider the values of both the x-coordinate and the y-coordinate.
In Quadrant IV, the x-coordinate is positive, and the y-coordinate is negative. The y-coordinate in this case is -9.
So, to find the value of x that would place the ordered pair (x, -9) in Quadrant IV, we need to find a positive value for x.
Looking at the given answer choices:
- Option 0 does not meet the criteria, as it has a value of 0 for x, which is neither positive nor negative.
- Option -1 has a negative value for x, so it doesn't meet the criteria.
- Option -7 also has a negative value for x, so it doesn't meet the criteria.
- Option 7 has a positive value for x, so it meets the criteria for Quadrant IV.
- Option 8 also has a positive value for x, so it meets the criteria for Quadrant IV.
Therefore, the possible values for x that would place the ordered pair (x, -9) in Quadrant IV are 7 and 8.
To determine the quadrant where the ordered pair (x, -9) is located, we need to understand the signs of x and y coordinates in each quadrant.
Quadrant IV is located in the bottom-right portion of the coordinate plane. In this quadrant, both the x and y coordinates are positive.
Since the y-coordinate, which is -9, is negative, we need to find a value for x that makes the pair (x, -9) fall into Quadrant IV.
Therefore, the correct value of x in this case would be a positive number, as stated by the condition for Quadrant IV.
Out of the given options:
- Option 0 has a non-positive value for x, so it does not fall into Quadrant IV.
- Option -7 has a negative value for x, so it does not fall into Quadrant IV.
- Option 7 has a positive value for x, so it satisfies the condition and falls into Quadrant IV.
- Option 8 also has a positive value for x, so it satisfies the condition and falls into Quadrant IV.
Hence, the possible values of x that make the ordered pair (x, -9) fall into Quadrant IV are 7 and 8.