The equation $y = -4x + 1$ represents a linear function in slope-intercept form, which is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

For $y = -4x + 1$:

• Slope (m): -4, meaning the line falls 4 units vertically for every 1 unit it moves horizontally to the right.
• Y-intercept (b): 1, meaning the line crosses the y-axis at (0, 1).

This line has a negative slope, so it will descend from left to right.

Would you like further details on this function, such as graphing it or finding specific points along the line?

Here are some related questions:

1. What is the x-intercept of this line, and how do we find it?
2. How does the slope affect the steepness of the line?
3. Can you convert this linear equation to standard form?
4. How would you write an equation for a line parallel to this one?
5. How would you write an equation for a line perpendicular to this one?

Tip: When identifying the slope from a linear equation, remember that the slope indicates the "rise over run," showing how the line moves across the coordinate plane.