Answer: y=1,5x-8
Explanation:
At first transform the equation
2x+3y=18
3y= 18-2x
y= 6 - (2/3)x
The linear function has general form, which looks like that:
y=mx+n
perpendicular means that m1*m2=-1
In our case m1= -(2/3) and m2 is unknown
(-2/3)*m2= -1
m2=3/2 so m2=1,5
The line has to go through the point (6,1)
so 1=6*1,5+n
1=9+n
n= -8
so the function looks like that y=1,5x-8