What are your objectives for Section 4.1? How can you accomplish each objective? 3 Graph a Linear Equation in Two Variables by • Be able to recognize a linear equation. • Learn how to make a table of values that will satisfy the equation, and plot these points. • Complete the given example on your own. • Complete You Try 3. 4 Graph a Linear Equation in Two Variables by Finding the Intercepts • Know what an intercept is and where it is located on the graph. • Learn the procedure for Finding Intercepts, and write it in your notes. • Complete the given example on your own. • Complete You Try 4. 5 Graph Linear Equations of the Forms x a • Write the properties The Graph of x a and The Graph of y b in your own words, and learn them. • Be able to choose ordered pairs that will satisfy the equation, if necessary. • Complete the given examples on your own. • Complete You Trys 5 and 6. 6 Use the Midpoint Formula • Learn the midpoint formula. • Understand what the midpoint is and where it is located. • Complete the given example on your own. • Complete You Try 7. 7 Solve Applications • Read the problem carefully. • Be able to determine what the x-value represents and what the y-value represents before choosing ordered pairs. • Be able to make a table of values. • Make sure your answers make sense. • Complete the given example on your own. Read the explanations, follow the examples, take notes, and complete the You Trys. We encounter graphs everywhere—in newspapers, books, and on the Internet. The graph in Figure 1 shows how many billions of dollars consumers spent shopping online for consumer electronics during the years 2001–2007. Graphs like this one are based on the Cartesian coordinate system, or the rectangular coordinate system. Let’s begin this section by reviewing how to work with a Cartesian coordinate system. Plotting Points and y b www.mhhe.com/messersmith SECTION 4.1 Introduction to Linear Equations in Two Variables 139
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