Find the Rate of Change: Solving -1/4y + x = 3

To solve this problem, let's convert the given equation into the standard slope-intercept form, $y = mx + b$, to find the rate of change:

• Step 1: Start with the equation $-\frac{1}{4}y + x = 3$.
• Step 2: Rearrange the equation to solve for $y$. Subtract $x$ from both sides to get $-\frac{1}{4}y = -x + 3$.
• Step 3: Multiply every term by $-4$ to isolate $y$. This gives us $y = 4x - 12$.

Now that the equation is in the form $y = mx + b$, the slope $m$ is the coefficient of $x$, which is $4$.

Therefore, the rate of change for the given straight line equation is $4$.