Graphing points on a coordinate plane series#

There are multiple ways to represent a linear relationship-a table, a linear graph, and there is also a linear equation. In this case, the relationship is that the y-value is twice the x-value. You can think of a line, then, as a collection of an infinite number of individual points that share the same mathematical relationship. Look at how all of the points blend together to create a line. In the table below, the x- and y-coordinates of each ordered pair on the graph is recorded.

Graphing points on a coordinate plane series#

These series of points can also be represented in a table. Applying the same logic, you may identify that the ordered pairs (6, 12) and (7, 14) would also belong if this coordinate plane were larger they, too, will line up with the other points. This makes sense because the point (5, 10) “lines up” with the other points in the series-it is literally on the same line as the others. You probably identified that if this pattern continued the next ordered pair would be at (5, 10). Do you see any pattern to the location of the points? If this pattern continued, what other points could be on the line? Look at the five ordered pairs (and their x– and y-coordinates) below. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Plotting points to graph linear relationshipsĪ linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Once you know about the quadrants in the coordinate plane, you can determine the quadrant of an ordered pair without even graphing it by looking at the chart above. Starting from the origin, go along the x-axis in a positive direction (right) and along the y-axis in a negative direction (down). Starting from the origin, go along the x-axis in a negative direction (left) and along the y-axis in a negative direction (down). Starting from the origin, go along the x-axis in a negative direction (left) and along the y-axis in a positive direction (up). Starting from the origin, go along the x-axis in a positive direction (right) and along the y-axis in a positive direction (up). They also follow a pattern, which is outlined in the table below. Within each quadrant, the signs of the x-coordinates and y-coordinates of each ordered pair are the same. What do you notice about the signs of the x- and y-coordinates of the points within each quadrant? Look at each quadrant in the graph below. Ordered pairs within any particular quadrant share certain characteristics. Quadrants are named using the Roman numerals I, II, III, and IV beginning with the top right quadrant and moving counter clockwise.

These four sections are called quadrants. The intersecting x- and y-axes of the coordinate plane divide it into four sections. Identify quadrants and use them to plot points If the y-coordinate is positive, move up if the y-coordinate is negative, move down. Beginning at the x-coordinate, move vertically, the direction of the y-axis, the distance given by the y-coordinate. If the x-coordinate is positive, move to the right if the x-coordinate is negative, move to the left. Beginning at the origin, move horizontally, the direction of the x-axis, the distance given by the x-coordinate. Steps for Plotting an Ordered Pair ( x, y) in the Coordinate Plane