c. $$ (4,-8) $$ would be in quadrant: I II III IV d. $$ (-1,2) $$ would be in quadrant: I (II) III IV e. $$ (-3,-3) $$ would be in quadrant: I II III) IV f. $$ (7,-10) $$ would be in quadrant: I II III IV g. $$ (-456,16) $$ would be in quadrant: I III III IV h. $$ (1,987,-2,356) $$ would be in quadrant: I II III IV

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To determine the quadrant in which each point lies, we can use the following rules based on the signs of the coordinates: 1. **Quadrant I**: $$ (x, y) $$ where $$ x > 0 $$ and $$ y > 0 $$ 2. **Quadrant II**: $$ (x, y) $$ where $$ x < 0 $$ and $$ y > 0 $$ 3. **Quadrant III**: $$ (x, y) $$ where $$ x < 0 $$ and $$ y < 0 $$ 4. **Quadrant IV**: $$ (x, y) $$ where $$ x > 0 $$ and $$ y < 0 $$ Now, let's analyze each point: c. $$ (4, -8) $$ - $$ x = 4 > 0 $$ and $$ y = -8 < 0 $$ - This point is in **Quadrant IV**. d. $$ (-1, 2) $$ - $$ x = -1 < 0 $$ and $$ y = 2 > 0 $$ - This point is in **Quadrant II**. e. $$ (-3, -3) $$ - $$ x = -3 < 0 $$ and $$ y = -3 < 0 $$ - This point is in **Quadrant III**. f. $$ (7, -10) $$ - $$ x = 7 > 0 $$ and $$ y = -10 < 0 $$ - This point is in **Quadrant IV**. g. $$ (-456, 16) $$ - $$ x = -456 < 0 $$ and $$ y = 16 > 0 $$ - This point is in **Quadrant II**. h. $$ (1, 987, -2, 356) $$ - This point has four coordinates, which does not fit into the standard 2D quadrant classification. However, if we consider only the first two coordinates $$ (1, 987) $$: - $$ x = 1 > 0 $$ and $$ y = 987 > 0 $$ - This point is in **Quadrant I**. ### Summary of Quadrants: - c. Quadrant IV - d. Quadrant II - e. Quadrant III - f. Quadrant IV - g. Quadrant II - h. Quadrant I (considering only the first two coordinates) - c. Quadrant IV - d. Quadrant II - e. Quadrant III - f. Quadrant IV - g. Quadrant II - h. Quadrant I

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