Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Practice and Problem-Solving Exercises - Page 368: 40

a.) Example: y= 3x+5 b.) Example: y= (1/2)x+9 c.) Example: y= (1/2)x-2

a) For example a, all you have to do is create a system that has one solution, meaning that the second equation just cannot have the same slope as the first b) For example b, all you need to do is create an equation that will result in no solution between the two equations. Simply create an equation with the same slope as the first but a different y-intercept. c) For example c, all you need to do is create an equation that will result in infinite number of solutions between the two equations. Simply rewrite your first equation for your second equation, because both equations must be exactly the same.