We substitute the coordinates of the point (4, -3) into the equation and solve for k.
\begin{align*}
1 - k(4) &= -3(-3) \\
1 - 4k &= 9 \\
-4k &= 8 \\
k &= \boxed{-2}
\end{align*}
The answer is: -2
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
What value of k makes the line described by the equation $1 - kx = -3y$ pass through the point (4, -3)?

### Answer:
