Answer:
y= -x + 6
Step-by-step explanation:
-x + y =1 ---> y = x+1
the line perpendicular to this line should have negative inverse slope
the slope is 1 so the negative inverse of 1 is -1
set up
y = -x +b
since it goes through (4,2)
then we have
2 = -4 +b
b=6
so the linear equation is y = -x+6