In which quadrant, if any, is the point \( \left(-\frac{4}{3}, \frac{19}{13}\right) \) located? Choose the correct answer below. A. Quadrant III B. Quadrant II C. Quadrant I D. Quadrant IV E. None; the point lies on the \( x \)-axis F. None; the point lies on the \( y \)-axis
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The point \( \left(-\frac{4}{3}, \frac{19}{13}\right) \) has a negative x-coordinate and a positive y-coordinate. This combination places the point in Quadrant II, where x-values are negative, and y-values are positive. So the correct answer is B. Quadrant II. Having clarity on quadrants can help in various real-life situations, such as navigation. For example, if you're traveling in a city with a grid layout, understanding which quadrant you're in can guide you to your destination more efficiently. When placing points on a coordinate system, a common mistake is confusing the signs of x and y coordinates. Remember, Quadrant I has both coordinates positive, Quadrant II has a negative x and positive y, Quadrant III has both negative, and Quadrant IV has a positive x and negative y. Keeping this in mind can save a lot of frustration!