Answer:
y = 1/3x + 6
Step-by-step explanation:
Using the equation of line
y = mx + C
y - y_1 = m( x - x_1)
First find the slope of the line
y = -3x + 2
Note, if two lines are perpendicular, their slope will be negative reciprocal
Ie m = 1/3
Using the equation now
y - y_1 = m(x - x_1)
With point (6 , 8)
x_1 = 6
y_1 = 8
y - 8 = 1/3(x - 6)
y -8 = (x - 6)/3
y = (x - 6)/ 3 + 8
Lcm is 3
y = x - 6 + 24/3
y = x + 18/ 3
We can separate
y = x / 3 + 18/ 3
y = x /3 + 6
y = 1/3x + 6
The equation of the line is
y = 1/3x + 6
