Question

the coordinates of point m have the same sign. which answer choice includes all the quadrants that could contain the point? quadrants i and ii quadrants iii and iv quadrants ii and iv quadrants i and iii

Explanation:

Step1: Recall the coordinate signs in each quadrant

• In Quadrant I: \(x>0,y>0\) (both coordinates positive).
• In Quadrant II: \(x < 0,y>0\) (different signs).
• In Quadrant III: \(x<0,y < 0\) (both coordinates negative).
• In Quadrant IV: \(x>0,y < 0\) (different signs).

Step2: Identify the quadrants with same - signed coordinates

Since we need the coordinates of the point to have the same sign, we consider Quadrant I (\(x>0,y>0\)) and Quadrant III (\(x < 0,y<0\)).

Answer:

Quadrants I and III