What are your objectives for Section 4.3? How can you accomplish each objective? 4 Write Equations of Horizontal and Vertical Lines • Learn the formulas for Equations of Horizontal and Vertical Lines, and write them in your notes. • Complete the given example on your own. • Complete You Try 4. 5 Use Slope to Determine if Two Lines Are Parallel or Perpendicular • Be able to fi nd the slope for a line if given an equation. • Understand the properties of Parallel Lines and Perpendicular Lines, and summarize them in your notes. • Complete the given example on your own. • Complete You Try 5. 6 Write an Equation of a Line That Is Parallel or Perpendicular to a Given Line • Follow the examples, and create a step-by-step procedure for fi nding and writing the equations of parallel and perpendicular lines. • Complete the given examples on your own. • Complete You Trys 6 and 7. 7 Write a Linear Equation to Model Real-World Data • Follow the example, then complete the example in your notes without looking at the example. Read the explanations, follow the examples, take notes, and complete the You Trys. The focus of Chapter 4, thus far, has been on graphing lines given their equations. In this section, we will switch gears. Given information about a line, we will write an equation of that line. Recall the forms of lines we have discussed so far. 1) Standard Form: Ax By C, where A, B, and C are real numbers and where both A and B do not equal zero. We will now set an additional condition for when we write equations of lines in standard form: A, B, and C must be integers, and A must be positive. 2) Slope-Intercept Form: The slope-intercept form of a line is y mx b, where m is the slope, and the y-intercept is (0, b). It is common to express the equation of a line in one of these two forms. In the rest of this section, we will learn how to write equations of lines given information about their graphs. www.mhhe.com/messersmith SECTION 4.3 Writing an Equation of a Line 171
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