Question

which points are located in the fourth quadrant? a and b c and d e only f and g

Explanation:

Step1: Recall the coordinate rules of quadrants

In the Cartesian coordinate system, the fourth - quadrant has \(x>0\) and \(y < 0\).

Step2: Analyze each point

• For point \(A\): Assume the coordinates of \(A\) is \((5,-4)\) (from the graph), \(x = 5>0\) and \(y=-4 < 0\).
• For point \(B\): Assume the coordinates of \(B\) is \((1,-1)\) (from the graph), \(x = 1>0\) and \(y=-1 < 0\).
• For point \(C\): Assume the coordinates of \(C\) is \((5,2)\) (from the graph), \(y = 2>0\), so it is not in the fourth - quadrant.
• For point \(D\): Assume the coordinates of \(D\) is \((2,4)\) (from the graph), \(y = 4>0\), so it is not in the fourth - quadrant.
• For point \(E\): Assume the coordinates of \(E\) is \((0,1)\) (from the graph), it is on the \(y\) - axis, not in any quadrant.
• For point \(F\): Assume the coordinates of \(F\) is \((-1,-1)\) (from the graph), \(x=-1 < 0\), so it is not in the fourth - quadrant.
• For point \(G\): Assume the coordinates of \(G\) is \((-4,-3)\) (from the graph), \(x=-4 < 0\), so it is not in the fourth - quadrant.

Answer:

A. \(A\) and \(B\)