Pregunta
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In which quadrant, if any, is the point \( (-9,8) \) located? Choose the correct answer below. A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV E. None; the point lies on the x-axis F. None; the point lies on the y-axis

Ask by Tucker Luna. in the United States
Mar 14,2025

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The point \( (-9,8) \) is in Quadrant II.

Solución

Since the \( x \)-coordinate is negative and the \( y \)-coordinate is positive, we can determine the location of the point as follows: 1. When \( x < 0 \) and \( y > 0 \), the point is located in Quadrant II. Thus, the correct answer is: B. Quadrant II

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Bonus Knowledge

To determine the location of the point \( (-9, 8) \), we look at the signs of its coordinates. The x-coordinate is negative and the y-coordinate is positive. Points in Quadrant II have negative x-values and positive y-values. Therefore, the point \( (-9, 8) \) is located in Quadrant II, which is option B. For a little extra fun, did you know that the Cartesian coordinate system was developed by René Descartes in the 17th century? He introduced the use of coordinates to graph points in a plane, revolutionizing mathematics! In real-world applications, understanding quadrants can help in navigation and mapping. For example, if you are a game developer designing a map, knowing how to locate points can determine where players or objects should be placed within a game environment!

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