Question

which point lies below the x - axis and to the right of the y - axis? (-4,-6) (4,6) (-4,6) (4,-6)

Explanation:

Step1: Analyze the x - coordinate

For a point to be to the right of the y - axis, its x - coordinate must be positive.
For \((-4,-6)\), \(x=-4\) (negative); for \((4,6)\), \(x = 4\) (positive); for \((-4,6)\), \(x=-4\) (negative); for \((4,-6)\), \(x = 4\) (positive).

Step2: Analyze the y - coordinate

For a point to be below the x - axis, its y - coordinate must be negative.
For \((4,6)\), \(y = 6\) (positive); for \((4,-6)\), \(y=-6\) (negative).

Answer:

\((4,-6)\)