Question

Enrique thinks of a point in the coordinate plane. The y-coordinate of the point is the opposite of its x-coordinate. In which quadrant or quadrants of the coordinate plane could this point be located? Explain how you know.​

Answer 1

2nd and 4th

Explanation:

In the second quadrant, the x-coordinate is negative and the y-coordinate is positive. If we let the x-coordinate be -a, then the y-coordinate will be a. Therefore, the point will have the form (-a, a), and the y-coordinate will be the opposite of the x-coordinate.

In the fourth quadrant, the x-coordinate is positive and the y-coordinate is negative. If we let the x-coordinate be a, then the y-coordinate will be -a. Therefore, the point will have the form (a, -a), and again, the y-coordinate will be the opposite of the x-coordinate.