Question: Which of the following equations represents $4x + y = 1$ in slope-intercept form?\n\nā $-4x = 1 - y$\nā $y = 4x + 1$\nā $x = -\frac{1}{4} y + \frac{1}{4}$\nā $y = -4x + 1$
1. **State the problem:** We need to rewrite the equation $$4x + y = 1$$ in slope-intercept form, which is $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept.\n\n2. **Isolate $$y$$:** Starting with $$4x + y = 1$$, subtract $$4x$$ from both sides:\n$$y = 1 - 4x$$\n\n3. **Rewrite in slope-intercept form:** Rearranging terms to match $$y = mx + b$$:\n$$y = -4x + 1$$\n\n4. **Interpretation:** The slope $$m = -4$$ and the y-intercept $$b = 1$$.\n\n5. **Check the options:**\n- $-4x = 1 - y$ is not solved for $$y$$.\n- $y = 4x + 1$ has the wrong slope.\n- $x = -\frac{1}{4} y + \frac{1}{4}$ is solved for $$x$$, not $$y$$.\n- $y = -4x + 1$ matches our derived slope-intercept form.\n\n**Final answer:** $$y = -4x + 1$$