12, 62 18. The line passes through the points 12, 52 and 5 8 x 19 8 y x 4 or x y 4 For Exercises 23–28, find an equation of the line through the given points. Write the final answer in slopeintercept form. 23. 24. 25. 5 4 y 1 1 5 4 y 1 1 (2, 5) (1, 3) 26. 27. 28. 5 4 y 1 1 (2, 0) 4321 1 2 3 4 5 6 (3, 1) 5 4 3 2 1 1 2 3 5 4 3 321 1 2 3 (4, 1) 5 4 1 2 3 Concept 3: Writing an Equation of a Line Parallel or Perpendicular to Another Line For Exercises 29–36, use the point-slope formula to write an equation of the line given the following information. (See Examples 3 and 4.) 29. The line passes through the point and is parallel to the line or 13, 12 y 4 x 3. y 4x 13 4x y 13 14, 12 y 3 x 1. 30. The line passes through the point and is parallel to the line 14, 02 3x 2y 8 31. The line passes through the point and is parallel to the line . 12, 02 5x 3y 6 32. The line passes through the point and is parallel to the line . 5 3 15, 22 x 3. 33. The line passes through the point and is perpendicular to the line y 12 3 2 12, 22 x 5. 34. The line passes through the point and is perpendicular to the line y 13 10, 62 5x y 4. 35. The line passes through the point and is perpendicular to the line 36. The line passes through the point 10, 82 and is perpendicular to the line 2x y 5. (6, 4) y 4 5 x 54 4 5 2 3 4 5 (4, 3) y 2 1 1 x 54 4 5 32 1 1 2 3 4 5 (2, 2) (3, 5) y 2 1 3 x 1 2 3 4 5 2 3 4 5 x 3 2 54 321 (0, 4) 1 2 3 4 5 2 3 4 5 x 3 2 54 321 (3, 3) (1, 5) 1 2 3 4 5 2 3 4 5 x 3 2 54 321 Section 3.5 Point-Slope Formula 267 Concept 2: Writing an Equation of a Line Given Two Points For Exercises 17–22, use the point-slope formula to write an equation of the line given the following information. (See Example 2.) 17. The line passes through the points and (1, 0). 19. The line passes through the points and 21. The line passes through the points 2.2, 3.3 and 112.2, 5.32. 1 2 11, 32. 10, 42 (0, 1). 20. The line passes through the points and 22. The line passes through the points and 10.3, 6.82. 14.7, 2.22 17, 22. 11, 32 y 2x 2 or 2x y 2 y 2x 1 or 2x y 1 y or 5x 8y 19 y 0.2x 2.86 or 20x 100y 286 y 1.8x 6.26 or 180x 100y 626 y 2x 1 y 2x 3 y 2x 4 y 3x 4 y 1 2 x 1 y 1 3 x 2 y 3x 13 or 3x y 13 y x 6 or 3x 2y 12 y x or 5x 3y 10 10 3 y 1 5 x 6 or x 5y 30 y 2x 8 or 2x y 8 y 3x 8 or 3x y 8 y or x 2y 16 Writing Translating Expression Geometry Scientific Calculator Video 1 2 x 8
miller_introductory_algebra_3e_ch1_3
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