What quadrant does the point \((3, -2)\) lie in?
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The point \((3, -2)\) lies in the fourth quadrant of the Cartesian coordinate system. In this quadrant, the x-coordinates are positive, while the y-coordinates are negative, which perfectly fits the values of this point, where \(x = 3\) and \(y = -2\). To remember the quadrants easily, you can use the acronym "All Students Take Calculus," which reminds you that in the first quadrant, all values are positive, in the second quadrant, only sine (y) is positive, in the third, tangent is positive, and in the fourth, cosine (x) is positive. This helps visualize the relationships between quadrants!