What is the equation of the line that is perpendicular to y+1=-3(x-5) and passes through the point (4,-6)

The equation of the line would be y + 6 = 1/3(x - 4)

Step-by-step explanation:

To get this information we first have to start by finding the slope of the new line. If the slope of the perpendicular line is -3 (which we can see by its spot outside the parenthesis), we know that the new one is 1/3 because perpendicular slopes are opposite and reciprocal. Now we use this slope with the given point to find the new line in point-slope form.

y - y1 = m(x - x1)

y - -6 = 1/3(x - 4)

y + 6 = 1/3(x - 4)

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above