Question

which pair of points lies below the x - axis? (1, - 3) and (-1, - 3) (1, - 3) and (-1, 3) (-1, 3) and (-1, - 3) (1, 3) and (-1, - 3)

Explanation:

Step1: Recall the coordinate system rule

In a coordinate system, a point \((x,y)\) lies below the \(x -\)axis when \(y<0\).

Step2: Check each pair of points

• For the pair \((1, - 3)\) and \((-1,-3)\):
• For the point \((1,-3)\), \(y=-3<0\).
• For the point \((-1,-3)\), \(y = - 3<0\).
• For the pair \((1,-3)\) and \((-1,3)\):
• For the point \((1,-3)\), \(y=-3<0\), but for the point \((-1,3)\), \(y = 3>0\).
• For the pair \((-1,3)\) and \((-1,-3)\):
• For the point \((-1,3)\), \(y = 3>0\), and for the point \((-1,-3)\), \(y=-3<0\).
• For the pair \((1,3)\) and \((-1,-3)\):
• For the point \((1,3)\), \(y = 3>0\), and for the point \((-1,-3)\), \(y=-3<0\).

Answer:

\((1, - 3)\) and \((-1,-3)\)