The following concepts are important:[br][br][list][br][*] A linear equation in two variables results in infinitely many pairs of solutions.[br][*] Since solutions come in pairs of values of x and y, each pair of solutions may be represented by a point on the Cartesian Plane.[br][*] The complete set of solutions of a linear equation in two variable on the Cartesian Plane forms a line.[br][*] Thus, we must understand that the graph of an equation is the visual representation of the list of solutions of an equation with two variables.[br][/list]

1. You can adjust the values of A, B and C using the sliders. A changes the coefficient of x, B changes the coefficient of y, and C is the constant.[br][br]2. You can move the point P along the line. Note that each ordered pair on the line satisfies the equation.[br][br]3. Note the points of the line along the x-axis and the y-axis. The point on the x-axis is called the X-INTERCEPT of the line. The point on the y-axis is called the Y-INTERCEPT of the line.[br][br]4. What happens when A = 0? What happens when B = 0?[br][br]5. What other observations can you make about the line when you adjust the values of A, B and C?