![]() Identify the coordinates of the point P.Ħ. Identify the coordinates of the point P.ĥ. Identify the coordinates of the point P.Ĥ. Identify the coordinates of the point P.ģ. Identify the coordinates of the point P.Ģ. Instead, you should work on graph paper.ġ. However, you do not have to draw these gridlines yourself. The grid in Figure 8.3(b) is a visualization that greatly eases the plotting of ordered pairs. The combination of axes and grid in Figure 8.3(b) is called a coordinate system. The second number is called the ordinate and measures the vertical distance to the plotted point. The first number of the ordered pair is called the abscissa and measures the horizontal distance to the plotted point. The numbers in the ordered pair (5, 6) are called the coordinates of the plotted point in Figure 8.3(b). Figure 8.3: Plotting the Point (5, 6) in a Cartesian Coordinate System. Adding a grid of horizontal and vertical lines at each whole number makes plotting the point (5, 6) much clearer, as shown in Figure 8.3(b). To plot this point on the “coordinate system” in Figure 8.3(a), start at the origin (0, 0), then move 5 units in the horizontal direction, then 6 units in the vertical direction, then plot a point. Now, consider the ordered pair of whole numbers (5, 6). Figure 8.2: A Cartesian coordinate system. The resulting construct is an example of a Cartesian Coordinate System. The point where the zero locations touch is called the origin of the coordinate system and has coordinates (0, 0). To plot ordered pairs, we need two number lines, called the horizontal and vertical axes, that intersect at the zero location of each line and are at right angles to one another, as shown in Figure 8.2(a). Figure 8.1: Plotting the whole numbers 2, 5, and 7 on a number line. For example, in Figure 8.1, we’ve plotted the whole numbers 2, 5, and 7 as shaded “dots” on the number line. We’ve seen how to plot whole numbers on a number line. Consequently, the ordered pair ( x, y) is not the same as the ordered pair ( y, x), because the numbers are presented in a different order. Pay particular attention to the phrase “ordered pairs.” Order matters. The result looks like this: Figure 4.1.3.\) "-" means move to the left, so you go 4 to the left. Graph the point (-4, 3) and name it point P. Here is an example of a point graphed in a four-quadrant coordinate grid. Most coordinate grids have four quadrants. Plot (3, 5) on the coordinate grid then label it point A. It tells where a point is located on the coordinate plane. Again, all the x-coordinates of points located on the y-axis are 0.Īn ordered pair is a list of two numbers in parenthesis, separated by a comma like this: (5,-3). Y-coordinates are plotted in reference to this axis. The y-axis is the central line that runs up-down and is labeled with a "y". All the points located on the x-axis have a y-coordinate of 0. The x-coordinate of an ordered pair is found with relation to it. ![]() The x-axis is the line running from left to right that has the numbers defined on it and is usually labeled with an "x". The origin is the place where the two lines intersect. The coordinate grid below has one quadrant, or section, to it. It usually has two or more intersecting lines which divide a plane into quadrants, and in which ordered pairs, or coordinates, are defined. \)Ī coordinate grid is a grid in which points are graphed.
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