Question

Plot the ordered pairs in a coordinate plane. (GRAPH CANNOT COPY) $$A(4,-1), B(5,0)$$

Short answer

Point A is positioned in the fourth quadrant in the coordinate plane and point B is positioned on the x-axis. The correct graph would have point A at the position (4,-1) and B at the position (5, 0).

Step-by-step solution

Understanding the Coordinate System

Firstly, we must understand the Coordinate System. It consists of two perpendicular axes: the horizontal axis is called the x-axis, and the vertical axis is called the y-axis. The point where these axes intersect is called the origin, denoted as \( (0,0) \). Every point in the plane can be specified by an ordered pair of numbers.

Plotting Point A

Point A has coordinates (4,-1). The first coordinate is the x-value, which means we start at the origin and move 4 units to the right along the x-axis. The second coordinate is the y-value which, since it's negative, means we should move down 1 unit from our x-coordinate position (4,0) along the y-axis. So, point A is located in the fourth quadrant of the coordinate plane.

Plotting Point B

Now let's plot point B, which has coordinates (5, 0). Starting from the origin, we move right 5 units along the x axis, since the x coordinate is 5. However, since the y coordinate is 0, it tells us we don't need to move up or down along the y axis from our x-coordinate position. Therefore, point B lies on the x-axis.