Final answer:
The point (-10, 30 1/2) is located in the second quadrant of the coordinate plane because it has a negative x-coordinate and a positive y-coordinate.
Step-by-step explanation:
The point (-10, 30 1/2) is located in the second quadrant of the coordinate plane. To determine which quadrant a point is in, we look at the signs of the x (horizontal) and y (vertical) coordinates. The x-coordinate is negative and the y-coordinate is positive in the second quadrant. So, any point with a negative x-value and a positive y-value, such as (-10, 30 1/2), will be found in the second quadrant.