Answer:
y = -x/6 + 17
Step-by-step explanation:
Step 1: find the slope
y = 6x - 1
Equation of a line is
y = mx + c.
m - slope
m = 6
Note : if two lines are perpendicular to the other, both lines are negative reciprocal of each other
m = -1/6
Step 2 : using a point slope form equation
y - y1 = m( x - x1)
( -6 , 18)
x1 = -6
y1 = 18
y - 18 = -1/6(x - (-6)
y - 18 = -1/6( x + 6)
y - 18 = -x - 6 / 6
y = (-x - 6)/6 + 18
LCM = 6
y = (-x - 6 + 108)/6
y = -x + 102 / 6
y = -x/6 + 102/6
y = -x/6 + 17
The equation of the line is
y = -x/6 + 17