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\( (-3,-3) \) would be in quadrant: I II III IV \( (7,-10) \) would be in quadrant: I II III IV

Ask by Schneider Peters. in the United States
Mar 13,2025

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Answer

(-3, -3) is in quadrant III, and (7, -10) is in quadrant IV.

Solution

To determine the quadrant in which a point lies, we need to consider the signs of the x and y coordinates. 1. For the point (-3, -3): - The x-coordinate is negative, and the y-coordinate is also negative. - Therefore, the point (-3, -3) lies in the third quadrant. 2. For the point (7, -10): - The x-coordinate is positive, and the y-coordinate is negative. - Therefore, the point (7, -10) lies in the fourth quadrant. So, the correct quadrant assignments are: - (-3, -3) is in quadrant III. - (7, -10) is in quadrant IV.

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Bonus Knowledge

The point \( (-3,-3) \) lies in the third quadrant, where both x and y coordinates are negative. In this quadrant, you'll find that the angles range from 180° to 270°. Meanwhile, the point \( (7,-10) \) falls into the fourth quadrant, where x is positive and y is negative. This quadrant contains angles from 270° to 360°, perfect for spotting those pesky negative y-values paired with positive x-values!

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