Question

which graph is a possible graph of the points (5, -3) and (-5, -3)?

Explanation:

Step1: Analyze the coordinates of the points

For the point \((5,-3)\), the \(x -\)coordinate is \(5\) (positive) and the \(y -\)coordinate is \(-3\) (negative). So it lies in the fourth quadrant. For the point \((-5,-3)\), the \(x -\)coordinate is \(-5\) (negative) and the \(y -\)coordinate is \(-3\) (negative). So it lies in the third quadrant.

Step2: Check the position of points in each graph

• In the first graph, the points are not in the correct quadrants.
• In the second graph, the points \((5,-3)\) and \((-5,-3)\) are in the fourth and third quadrants respectively.
• In the third graph, the points are not in the correct quadrants.
• In the fourth graph, the points are not in the correct quadrants.

Answer:

The second graph (the one with a point in the fourth quadrant and a point in the third quadrant) is the correct graph.