(04.02 MC) 4
What is the y-intercept of the line perpendicular to the line y = x + 1 that includes the point (4, 1)?

The intercept of the line perpendicular to the line is 5.

Step-by-step explanation:

The line has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:

(1)

Where:

- Slope of the original line.

- Slope of the line perpendicular to the original line.

If we know that , then the new slope is:

A line is defined by the following expression:

(2)

Where:

- Independent variable.

- Dependent variable.

- Slope.

- Intercept.

If we know that and , then the intercept of the line perpendicular to the original line:

The intercept of the line perpendicular to the line is 5.

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step-by-step explanation:

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