The equation you provided, $y = -2x + 1$, is in the slope-intercept form of a linear equation, which is given by:

$y = mx + b$

where:

• $m$ is the slope of the line, and
• $b$ is the y-intercept.

In this case:

• The slope $m = -2$,
• The y-intercept $b = 1$.

Interpretation:

• The slope of $-2$ means the line decreases by 2 units for every 1 unit increase in $x$.
• The y-intercept of $1$ means that the line crosses the y-axis at $y = 1$.

If you have any specific questions regarding the equation or need further details on its graph, feel free to ask!

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Here are some related questions to explore:

1. How do I graph the line $y = -2x + 1$?
2. How can I find the x-intercept of the equation?
3. What does the slope of a line represent in real-world situations?
4. How can I rewrite the equation in point-slope form?
5. What happens to the graph if the slope is changed?

Tip: To graph the line, start by plotting the y-intercept (1) on the y-axis, and then use the slope to find another point: from (0, 1), move down 2 units and right 1 unit to get to (1, -1). Draw the line through these points.