Section 3.5 Point-Slope Formula 249 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 12, 62 18. The line passes through the points 21. The line passes through the points 2.2,3.3 and 112.2, 5.32. 1 2 11, 32. 10, 42 and (0, 1). 20. The line passes through the points and 22. The line passes through the points and 10.3, 6.82. 12, 52 14.7, 2.22 17, 22. 11, 32 For Exercises 23–28, find an equation of the line through the given points. Write the final answer in slopeintercept form. 23. 24. 25. 1 2 3 4 5 5 4 y 1 1 2 3 4 5 x 3 2 (2, 0) 54 321 (0, 4) 1 2 3 4 5 5 4 y 1 1 2 3 4 5 x 3 2 54 321 (3, 3) (1, 5) 1 2 3 4 5 5 4 y 1 1 2 3 4 5 x 3 2 (2, 5) (1, 3) 54 321 26. 27. 28. 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 3–4.) (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 29. The line passes through the point and is parallel to the line y 4 x 3. 13, 12 30. The line passes through the point and is parallel to the line y 3 x 1. 14, 12 31. The line passes through the point and is parallel to the line 3x 2y 8. 14, 02 12, 02 32. The line passes through the point and is parallel to the line 5x 3y 6. 15, 22 34. The line passes through the point and 33. The line passes through the point and is perpendicular to the line y 12 x 3. is perpendicular to the line y 13 12, 22 x 5. 10, 62 36. The line passes through the point and is 35. The line passes through the point and is perpendicular to the line 5x y 4. 10, 82 perpendicular to the line 2x y 5.
miller_beginning_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above