The point (4, -8) is located in the fourth quadrant of a Cartesian coordinate system. To determine the quadrant, we need to consider the signs of the x and y coordinates. In the first quadrant, both x and y are positive. In the second quadrant, x is negative and y is positive. In the third quadrant, both x and y are negative. In the fourth quadrant, x is positive and y is negative. In this case, the x-coordinate is positive (4) and the y-coordinate is negative (-8), which places the point in the fourth quadrant. Here's a visual representation of the quadrants in a Cartesian coordinate system: ``` ^ y-axis | II | I --------|--------> x-axis III | IV | ``` In the fourth quadrant, the x-axis is positive and the y-axis is negative. So, a point with positive x-coordinate and negative y-coordinate is located in the fourth quadrant. Therefore, the point (4, -8) is located in the fourth quadrant.
