Answer:
y= -3x+24
Explanation:
First find the slope of the line
-x + 3y = -6
Add x to each side
3y = x-6
Divide by 3
3y/3 = 1/3 x -6/3
y = 1/3x -2
The slope is 1/3 since it is in the form y = mx+b where m is the slope
Perpendicular lines have slopes that multiply to -1
1/3 * m = -1
m = -1 * 3/1
m = -3
The slope of the perpendicular line is -3
Slope intercept form is
y = mx+b where m is the slope and b is the y interceot
y = -3x+b
We have a point ( 6,6)
6 = -3(6) +b
6 = -18+b
Add 18 to each side
6+18 = -18+b+18
24 = b
y= -3x+24