Technical Mathematics, Sixth Edition

22.7. CHAPTER 22 REVIEW PROBLEMS

1. Find the distance between the points (3, 0) and (7, 0). 4

2. Find the distance between the points (4, −4) and (1, −7) to 3 significant digits. 4.24

3. Find the slope of the line perpendicular to a line that has an angle of inclination of 34.8°. −1.44

4. Find the angle of inclination in degrees of a line with a slope of −3. 108.4°

5. Find the angle of inclination of a line perpendicular to a line having a slope of 1.55. 147°

6. Find the angle of inclination of a line passing through (−3, 5) and (5, −6). 126°

7. Find the slope of a line perpendicular to a line having a slope of a/2b. −2b/a

8. Write the equation of a line having a slope of −2 and a y intercept of 5. 2x + y − 5 = 0

9. Find the slope and y intercept of the line 2y − 5 = 3(x − 4). m = 3/2; b = −7/2

10. Write the equation of a line having a slope of 2p and a y intercept of p − 3q. 2px − y + p − 3q = 0

11. Write the equation of the line passing through (−5, −1) and (−2, 6). 7x − 3y + 32 = 0

12. Write the equation of the line passing through (−r, s) and (−2, 6).

13. Write the equation of the line having a slope of 5 and passing through the point (−4, 7). 5x − y + 27 = 0

14. Write the equation of the line having a slope of 3c and passing through the point (2c, c − 1). 3cx − y − 6c² − 1 = 0

15. Write the equation of the line having an x intercept of −3 and a y intercept of 7. 7x − 3y + 21 = 0

16. Find the acute angle between two lines if one line has a slope of 1.50 and the other has a slope of 3.40. 17.3°

17. Write the equation of the line that passes through ...