Match the table to name the quadrant for each ordered pair.
Q1
Q2
Q3
Q4
(−4,2)
(3,−7)
(5,1)
(−6,−6)
(−1,9)
(8,5)
Q2
Q4
Q1
Q3
Q2
Q1
(−4,2) - Q2
(3,−7) - Q4
(5,1) - Q1
(−6,−6) - Q3
(−1,9) - Q2
(8,5) - Q1
To determine the quadrant for each ordered pair, we need to consider the signs of the x and y coordinates.
For each pair:
(−4,2) - The x coordinate is negative and the y coordinate is positive, placing it in Quadrant 2.
(3,−7) - The x coordinate is positive and the y coordinate is negative, placing it in Quadrant 4.
(5,1) - Both the x and y coordinates are positive, placing it in Quadrant 1.
(−6,−6) - Both the x and y coordinates are negative, placing it in Quadrant 3.
(−1,9) - The x coordinate is negative and the y coordinate is positive, placing it in Quadrant 2.
(8,5) - Both the x and y coordinates are positive, placing it in Quadrant 1.
Therefore, the quadrants for each ordered pair are as follows:
(−4,2) - Q2
(3,−7) - Q4
(5,1) - Q1
(−6,−6) - Q3
(−1,9) - Q2
(8,5) - Q1
To determine the quadrant for each ordered pair, we need to understand the concept of quadrants in the coordinate plane.
The coordinate plane is divided into four quadrants:
- Quadrant 1 (Q1) is the top right quadrant, where both x and y values are positive.
- Quadrant 2 (Q2) is the top left quadrant, where the x values are negative and the y values are positive.
- Quadrant 3 (Q3) is the bottom left quadrant, where both x and y values are negative.
- Quadrant 4 (Q4) is the bottom right quadrant, where the x values are positive and the y values are negative.
Now, let's match the table with the corresponding quadrant for each ordered pair:
(−4,2) - This point is in Quadrant 2 since the x value (-4) is negative, and the y value (2) is positive.
(3,−7) - This point is in Quadrant 4 since the x value (3) is positive, and the y value (-7) is negative.
(5,1) - This point is in Quadrant 1 since both the x value (5) and y value (1) are positive.
(−6,−6) - This point is in Quadrant 3 since both the x value (-6) and y value (-6) are negative.
(−1,9) - This point is in Quadrant 2 since the x value (-1) is negative, and the y value (9) is positive.
(8,5) - This point is in Quadrant 1 since both the x value (8) and y value (5) are positive.
To summarize:
(−4,2) - Quadrant 2
(3,−7) - Quadrant 4
(5,1) - Quadrant 1
(−6,−6) - Quadrant 3
(−1,9) - Quadrant 2
(8,5) - Quadrant 1