Plot the point (-3, 4) on a certain plane and identify the quadrant.
Understand the Problem
The question is asking us to plot the point (-3, 4) on a coordinate plane and determine which quadrant this point lies in. The x-coordinate is -3, which is negative, and the y-coordinate is 4, which is positive. Therefore, we can deduce the quadrant based on these signs.
Answer
The point (-3, 4) lies in Quadrant II.
Answer for screen readers
The point (-3, 4) lies in Quadrant II.
Steps to Solve
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Identify the coordinates The given point is (-3, 4). Here, -3 is the x-coordinate, and 4 is the y-coordinate.
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Determine the signs of the coordinates Check the x-coordinate and y-coordinate signs:
- The x-coordinate (-3) is negative
- The y-coordinate (4) is positive
- Identify the quadrant In the coordinate plane:
- Quadrant I has positive x and y coordinates
- Quadrant II has negative x and positive y coordinates
- Quadrant III has negative x and y coordinates
- Quadrant IV has positive x and negative y coordinates
Since the x-coordinate is negative and the y-coordinate is positive, the point (-3, 4) lies in Quadrant II.
The point (-3, 4) lies in Quadrant II.
More Information
Quadrant II is characterized by having negative x-coordinates and positive y-coordinates. This quadrant is located to the left of the y-axis and above the x-axis on the Cartesian coordinate plane.
Tips
- Mistaking the signs: A common mistake is confusing positive and negative signs, which can lead to identifying the wrong quadrant. Always double-check the signs of both coordinates before determining the quadrant.
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