Use the limit process to find the slope of the tongent line to the graph of the given function at $X$
Use $h$ intead of $\Delta x$
\[
f(x)=1-4 x
\]
\[
\text { Step 1: } \frac{f(x+h)-f(x)}{h}=
\]

Step 1 ：The problem is asking to find the slope of the tangent line to the graph of the function \(f(x)=1-4x\) at a general point \(x\). This can be done by finding the derivative of the function using the limit definition of the derivative. The limit definition of the derivative is given by: \[f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}\]

Step 2 ：So, we need to substitute \(f(x+h)\) and \(f(x)\) into this formula and simplify.

Step 3 ：\[f(x+h) = 1 - 4*(x+h) = 1 - 4x - 4h\]

Step 4 ：\[f(x) = 1 - 4x\]

Step 5 ：Substitute \(f(x+h)\) and \(f(x)\) into the limit definition of the derivative: \[f'(x) = \lim_{h \to 0} \frac{(1 - 4x - 4h) - (1 - 4x)}{h} = \lim_{h \to 0} \frac{-4h}{h} = -4\]

Step 6 ：The derivative of the function \(f(x)=1-4x\) is \(-4\). This means that the slope of the tangent line to the graph of the function at any point \(x\) is \(-4\).

Step 7 ：Final Answer: The slope of the tangent line to the graph of the function \(f(x)=1-4x\) at any point \(x\) is \(\boxed{-4}\).