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The following graph shows the distribution of the weights of a farmer's pumpkins. Each interval shown includes its left endpoint and excludes its right endpoint.

Which quadrant of the xy-plane contains the point (-3,-6)?

Rationale

The point (-3,-6) is located in Quadrant III of the xy-plane.

In the Cartesian coordinate system, Quadrant III is characterized by negative x-values and negative y-values. Since the coordinates of the point (-3,-6) both fall into the negative range, it confirms that this point resides in Quadrant III.

A (I) YOUR ANSWER

Quadrant I consists of points where both x and y coordinates are positive. Since the point (-3,-6) has negative values for both coordinates, it cannot be located in this quadrant.

B (II) YOUR ANSWER

Quadrant II is defined by positive y-values and negative x-values. Although the point (-3,-6) has a negative x-coordinate, its y-coordinate is also negative, which disqualifies it from being in this quadrant.

C (III) CORRECT

Quadrant III contains points where both x and y coordinates are negative. The point (-3,-6) fits this description perfectly, as it has a negative x-value of -3 and a negative y-value of -6, confirming its location in this quadrant.

D (IV) YOUR ANSWER

Quadrant IV is characterized by positive x-values and negative y-values. Since the x-coordinate of the point (-3,-6) is negative, it cannot be found in this quadrant.

Conclusion

In summary, the point (-3,-6) clearly falls into Quadrant III of the xy-plane, where both coordinates are negative. The other quadrants feature either positive x-values, positive y-values, or a combination of both, thereby excluding this point from their respective locations. Understanding the characteristics of each quadrant is essential for accurately identifying the position of points in the Cartesian plane.

Which quadrant of the xy-plane contains the point (-3,-6)?

The point (-3,-6) is located in Quadrant III of the xy-plane.

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