Find the value of n so that the line perpendicular to y = (-1/3)X-4 passes through the points (n. 6) and (4,15). How do I solve this ?

1

Step-by-step explanation:

The slope of the perpendicular is the negative inverse of the slope of the line.

m = -1 / (-⅓)

m = 3

The slope between the two points is 3, so:

3 = (15 − 6) / (4 − n)

3 (4 − n) = 9

4 − n = 3

n = 1

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18