Question

1. explain why the point \\((2, -5)\\) is located in quadrant iv and the point \\((-5, 2)\\) is located in quadrant ii.

1. true or false? an ordered pair \\((x, y)\\) can correspond to more than one point in the coordinate plane. explain your answer.

Explanation:

Identify coordinates and quadrants for points K, L, M, N, P, Q

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Analyze Quadrant locations for (2, -5) and (-5, 2)

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Evaluate uniqueness of ordered pair mapping

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Answer:

Question 1 (Exercises 1-6)

• K: \((-4, 6)\), Quadrant II
• L: \((2, 0)\), On the \(x\)-axis (no quadrant)
• M: \((-3, -4)\), Quadrant III
• N: \((0, 5)\), On the \(y\)-axis (no quadrant)
• P: \((5, -8)\), Quadrant IV
• Q: \((-8, -1)\), Quadrant III

Question 2 (Exercise 7)

The point \((2, -5)\) has a positive \(x\)-coordinate and a negative \(y\)-coordinate, which lies in Quadrant IV. The point \((-5, 2)\) has a negative \(x\)-coordinate and a positive \(y\)-coordinate, which lies in Quadrant II.

Question 3 (Exercise 8)

False. By definition, each ordered pair \((x, y)\) corresponds to exactly one unique point in the coordinate plane.