What is the equation of the line that passes through the point (-6,-6)and has a slope of -\frac{1}{3}− ?

9514 1404 393

  y +6 = (-1/3)(x +6)

Step-by-step explanation:

Given a point and a slope, it is appropriate to use the point-slope form to represent the equation:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

For your point and slope, the equation is ...

  y -(-6) = -1/3(x -(-6))

  y +6 = -1/3(x +6)

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Of course, this can be rearranged to whatever form you need.

  y = -1/3x -8 . . . . slope-intercept form

  x +3y = -24 . . . . standard form

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

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step-by-step explanation: