The given equation is $y = -3x + 1$, which is in the slope-intercept form $y = mx + b$, where:

• $m = -3$ is the slope, meaning the line goes down 3 units for every 1 unit to the right.
• $b = 1$ is the y-intercept, which is the point where the line crosses the y-axis.

To match the graph:

1. The graph should have a y-intercept at $(0, 1)$.
2. The slope should cause the line to decrease as $x$ increases (since the slope is negative).

Looking at the images, the correct graph will show a line crossing the y-axis at $y = 1$ and sloping downwards.

Would you like further clarification on this or help with more details on graph interpretation?

Here are 5 relative questions:

1. What does the slope of a line tell you about its direction?
2. How do you identify the y-intercept in an equation?
3. Can a line with a positive slope ever point downwards?
4. How would the graph change if the slope was less steep (e.g., $-1x$)?
5. What if the y-intercept was negative instead of positive?

Tip: Always check both the slope and the y-intercept when matching a line equation to its graph!