10. List three solutions to the equation

One way to find solutions to the equation is to choose various values for and then compute the corresponding values. For instance, if you set , then , giving you the point (0, 2). Similarly, if , then , resulting in the point (1, 3). Lastly, if , then , leading to the point (-1, 1). So, the solutions are (0, 2), (1, 3), and (-1, 1).

In real life, this linear equation could represent a scenario such as predicting the cost of an item based on its base price (which is 2 in this case) added to a variable component (represented by ). For example, if is the amount of customization on a product, the total price is directly affected by how much you wish to modify it, which is a lovely linear relationship that can be easily visualized—or even graphed!