For what value of $k$ does the line represented by the equation $1-kx = -3y$ contain the point $(4,-3)$?
1 - kx = - 3y sub (4, -3) into the equation
1 - k(4) = - 3(-3) simplify
1 - 4k = 9 subtract 1 from both sides
-4k = 8 divide both sides by - 4
k = -2