Question

two points have opposite x - coordinates and opposite y - coordinates. which is a possible graph of these points?

Explanation:

Step1: Analyze the property of points

If two points have opposite \(x -\)coordinates and opposite \(y -\)coordinates, let the first point be \((a,b)\), then the second point is \((-a,-b)\).

Step2: Check the symmetry

The points \((a,b)\) and \((-a,-b)\) are symmetric about the origin.

Answer:

The first graph (the one with one point in the first quadrant and the other in the third quadrant) is the correct graph.