Since it says the line will be parallel to that, keep 2x-3y and replace -6 with a variable.
Like this: 2x-3y=c
Replace x and y with the x and y values from (1,-2)
2(1)-3(-2)=c
Solve for c
2+6=c
8=c
Now, replace c in 2x-3y=c with 8:
2x-3y=8 is the answer