Write an equation in slope intercept form for the line that goes through (4,3) and that is perpendicular to the line that goes through the points (-23,14) and (-31,-4)

The slope of the line that passes through the points (-23,14) and (-31,-4) is:

y₂-y₁/x₂-x₁

=-4-14/-31+23

=-18/-8

=9/4

The perpendicular line's slope is the negative reciprocal of the line's slope it is perpendicular to, which is -4/9. Now we have:

y=(-4/9)x+b

To solve for b, the y-intercept, we can substitute values for x and y in. Since this line passes through the point (4,3), we can substitute those values in.

3=(-4/9)(4)+b

3=-16/9+b

b=43/9

Therefore, the equation of the line is y=(-4/9)x+43/9.

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step-by-step explanation:

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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