Section 3.4 Slope-Intercept Form of a Linear Equation 255 Calculator Exercises For each pair of lines, determine if the lines are parallel, perpendicular, or neither. Then use a square viewing window to graph the lines on a graphing calculator to verify your results. 1. x y 1 2. 3x y 2 3. 2x y 4 x y 3 6x 2y 6 3x 2y 4 Parallel Neither 4. Graph the lines defined by and Are these lines parallel? Explain. 5. Graph the lines defined by and Are these lines the same? Explain. 6. Graph the line defined by y 0.001x 3. Is this line horizontal? Explain. The lines may appear to coincide on a graph; however, they are not the same line because the y-intercepts are different. The line may appear to be horizontal, but it is not. The slope is 0.001 rather than 0. For additional exercises, see Classroom Activities 3.4A–3.4C in the Student’s Resource Manual at www.mhhe.com/moh. y x 1 y 0.99x 3. y 2x 1 y 2x 0.99. Section 3.4 Practice Exercises Study Skills Exercise When taking a test, go through the test and do all the problems that you know first.Then go back and work on the problems that were more difficult. Give yourself a time limit for how much time you spend on each problem (maybe 3 to 5 min the first time through). Circle the importance of each statement. not somewhat very important important important a. Read through the entire test first. 1 2 3 b. If time allows, go back and check each problem. 1 2 3 c. Write out all steps instead of doing the work in your head. 1 2 3 Vocabulary and Key Terms 1. a. Consider a line with slope m and y-intercept (0, b). The slope-intercept form of an equation of the y mx b line is . b. An equation of a line written in the form Ax By C where A and B are not both zero is said to be in form. Review Exercises 2. For each equation given, determine if the line is horizontal, vertical, or slanted. a. 3x 6 b. y 3 6 c. x y 6 For Exercises 3–10, determine the x- and y-intercepts, if they exist. 3. 4. 5. 6. x 5y 10 3x y 12 3y 9 2 y 102; 5 x-intercept: (10, 0); x-intercept: 4, x-intercept: none; y-intercept: 10, 22 y-intercept: 10, 122 y-intercept: 10, 32 x-intercept: none; y-intercept: (0, 3) 7. 8. 9. 10. y 1 2 4x 6y x 3 8 5x 20 x x-intercept: (0, 0); y-intercept: (0, 0) x-intercept: (0, 0); y-intercept: (0, 0) 15, 02; x-intercept: x-intercept: y-intercept: none 14, 02; y-intercept: none Perpendicular The lines may appear parallel; however, they are not parallel because the slopes are different. standard Vertical Horizontal Slanted Writing Translating Expression Geometry Scientific Calculator Video
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