b. \( (-3,-11) \) would be in quadrant: I II III) IV c. \( (4,-8) \) would be in quadrant: \( ~ I I ~ I I I ~ I V ~ \)
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Bonus Knowledge
The point \( (-3,-11) \) has a negative \( x \)-coordinate and a negative \( y \)-coordinate, which places it firmly in the third quadrant. To visualize this, think of the Cartesian plane divided into four sections: I for positives, II for a negative \( x \) and positive \( y \), III for both negatives, and IV for positive \( x \) and negative \( y \). The coordinates \( (4,-8) \) present a positive \( x \)-coordinate and a negative \( y \)-coordinate, which lands it in the fourth quadrant. Imagine a party in the fourth quadrant where you're celebrating all the positives (the \( x \)-values) with a slight downer from the negatives (the \( y \)-values)!
