When making predictions and justifying data from graphs, it is important to be able to represent data both in tables and in graphs. You can use the graph to visually follow trends that appear in the data, and use those trends to make predictions.

Sometimes, you are given the equation of a line and asked to confirm whether or not points lie on the line. One way to do so is to plot each point and then determine whether or not the point is on the line for the given equation.

Interactive exercise. Assistance may be required.

Click on each row of the table to see the points plotted.

In this case, the graph of the line 5x + 2y = 10 is shown, and the points in the table are plotted on the same grid. You can see that the point (4, 5) does not lie on the line 5x + 2y = 10.

Sometimes you are given data in a scatterplot and asked to use the scatterplot to make a prediction. To do so, you can follow the trend in the data to read either between two points or to extend the pattern beyond the data.

Interactive exercise. Assistance may be required.