15. Which quadrant of the xy-plane contains the point (-3,-6)?
Answer: C
The point (-3,-6) is found in quadrant III of the xy-plane.
Quadrant III contains points where both the x and y coordinates are negative. Since the point (-3,-6) has a negative x value of -3 and a negative y value of -6, it falls within this quadrant.
A) I
Quadrant I contains points where both the x and y coordinates are positive. Since the coordinates of the point (-3,-6) are negative, it cannot be located in this quadrant.
B) II
Quadrant II contains points where the x coordinates are negative and the y coordinates are positive. The point (-3,-6) has a negative x value but also a negative y value, thus it does not belong to this quadrant.
C) III
Quadrant III is characterized by both x and y coordinates being negative. The coordinates of the point (-3,-6) align with this definition, confirming that it is indeed located in this quadrant.
D) IV
Quadrant IV consists of points where the x coordinates are positive and the y coordinates are negative. Since the point (-3,-6) has a negative x value, it cannot be in this quadrant.
Conclusion
The point (-3,-6) is definitively located in quadrant III, as both of its coordinates are negative. Options A, B, and D are incorrect because they either require positive coordinates or only one negative coordinate, which does not apply to the given point.