What quadrants are x>0, x<0, y>0, & y<0 in on a graph?
When something is in quadrant 1, x and y are both positive. Example: (5,3). When something is in quadrant 2, x is negative and y is positive. Example: (-2,4). When something is in quadrant 3, x is negative and y is negative. Example: (-4,-6). When something is in quadrant 4, x is positive and y is negative. Example: (4, -8). The quadrants start at the top right and move counterclockwise in the order 1, 2, 3, 4. This should be more than enough information to fully understand quadrants and answer your questions. Good luck!
To determine in which quadrants the regions x > 0, x < 0, y > 0, and y < 0 lie, we need to understand the concept of quadrants on a graph.
A standard graph consists of four quadrants, numbered from I to IV, which are separated by the x-axis and y-axis. Let's break down each quadrant and identify where the given regions lie:
1. Quadrant I: In this quadrant, both the x and y coordinates are positive. Points falling in this quadrant have positive x-values and positive y-values. Therefore, any region or set of points where x > 0 and y > 0 will be located in Quadrant I.
2. Quadrant II: In this quadrant, the x-coordinate is negative (x < 0) while the y-coordinate is positive (y > 0). Points falling in this quadrant have negative x-values and positive y-values. Therefore, any set of points where x < 0 and y > 0 will be located in Quadrant II.
3. Quadrant III: In this quadrant, both the x and y coordinates are negative. Points falling in this quadrant have negative x-values and negative y-values. Therefore, any region or set of points where x < 0 and y < 0 will be located in Quadrant III.
4. Quadrant IV: In this quadrant, the x-coordinate is positive (x > 0) while the y-coordinate is negative (y < 0). Points falling in this quadrant have positive x-values and negative y-values. Therefore, any set of points where x > 0 and y < 0 will be located in Quadrant IV.
To summarize:
- The region x > 0 is in Quadrants I and IV.
- The region x < 0 is in Quadrants II and III.
- The region y > 0 is in Quadrants I and II.
- The region y < 0 is in Quadrants III and IV.
Remember, when analyzing regions on a graph, it is essential to consider both the x and y coordinates to determine the correct quadrant placement.