Question

the coordinates of point a have opposite signs. which choice includes all the quadrants that could contain the point? quadrants i and iii quadrants ii and iv quadrant iii quadrant iv

Explanation:

Step1: Analyze Quadrant I

In Quadrant I, \(x>0,y > 0\). The coordinates have the same sign.

Step2: Analyze Quadrant II

In Quadrant II, \(x<0,y>0\). The coordinates have opposite signs.

Step3: Analyze Quadrant III

In Quadrant III, \(x < 0,y<0\). The coordinates have the same sign.

Step4: Analyze Quadrant IV

In Quadrant IV, \(x>0,y < 0\). The coordinates have opposite signs.

Answer:

Quadrants II and IV