To determine the slope and $y$-intercept of the equation $y + 4x = -1$, rewrite it in slope-intercept form ($y = mx + b$), where $m$ is the slope and $b$ is the $y$-intercept.

Steps:

1. Start with the given equation: $y + 4x = -1$

2. Isolate $y$ by subtracting $4x$ from both sides: $y = -4x - 1$

Results:

• Slope ($m$): $-4$
• $y$-intercept ($b$): $-1$

The slope of the graph is $-4$, and the $y$-intercept is at the point $(0, -1)$.

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Would you like a graph or further clarification?
Here are 5 related questions you can explore:

1. How do you find the slope of a line given two points?
2. What does the slope of a line represent in real-world problems?
3. How can you identify the $x$-intercept from an equation?
4. How does changing the slope affect the steepness of a graph?
5. How do parallel and perpendicular slopes relate to each other?

Tip: Remember, the slope indicates the rate of change (rise over run), and the $y$-intercept is where the graph crosses the $y$-axis!