Beginning Algebra, 11th Edition

3.3 The Slope of a Line The slope of the line through and is Horizontal lines have slope 0. Vertical lines have undefined slope. ...

CONCEPTS EXAMPLES 3.5 Graphing Linear Inequalities in Two Variables Step 1 Graph the line that is the boundary of the region. Ma ...

242 CHAPTER 3 Linear Equations and Inequalities in Two Variables; Functions x y 0 x y 0 xy 01 24 610 Determine whether the given ...

3.5 Graph each linear inequality. 36. 37. 38. 3.6 Decide whether each relationisoris not a function. In Exercises 39 and 40, giv ...

244 CHAPTER 3 Linear Equations and Inequalities in Two Variables; Functions The percents of four-year college students in public ...

CHAPTER 3 Test^245 Write an equation for each line. Give the final answer in slope-intercept form. 14.Through 15.The line in Exe ...

246 CHAPTER 3 Linear Equations and Inequalities in Two Variables; Functions CUMULATIVE REVIEW EXERCISES Perform each indicated o ...

Over the years, Americans have continued their fascination with Hollywood and the movies. In 2009, the number of tickets sold at ...

248 CHAPTER 4 Systems of Linear Equations and Inequalities OBJECTIVES A system of linear equations,often called a linear system, ...

Any intersection point would be on both lines and would therefore be a solution of bothequations. Thus, the coordinates of any p ...

250 CHAPTER 4 Systems of Linear Equations and Inequalities OBJECTIVE 3 Solve special systems by graphing. Sometimes the graphs o ...

NOTE When a system has an infinite number of solutions, as in Example 3(b), either equation of the system could be used to write ...

Identifying the Three Cases by Using Slopes Describe each system without graphing. State the number of solutions. (a) Write each ...

SECTION 4.1 Solving Systems of Linear Equations by Graphing^253 We can solve the system from Example 1(a)by graphing with a calc ...

9. 10. 11. x+ y= 0 4 x+ 2 y= 0 1 0, 0 2 3 y=- 2 x- 4 5 y= 3 x+ 20 1 - 5, 2 2 3 y= 2 x+ 30 2 y= x+ 10 1 6, - 82 254 CHAPTER 4 S ...

33.Solve the system by graphing. Can you check your solution? Why or why not? 34.Explain one of the drawbacks of solving a syste ...

45.The graph shows how college stu- dents managed their money during the years 1997 through 2004. (a)During what period did ATM ...

Solve each equation for y. See Sections 2.5 and 3.3. Solve each equation. Check the solution. See Section 2.3. ...

We check the solution by substituting 2 for xand 4 for yin bothequations. CHECK (1) (2) Substitute. Substitute. Multiply. ✓ True ...

Using the Substitution Method Use substitution to solve the system. (1) (2) Step 1 We must solve one of the equations for either ...