To graph the equation using the given features:

• Slope = -2
• Y-intercept = 1

The equation of the line can be written in slope-intercept form:
$y = mx + b$
where $m$ is the slope and $b$ is the y-intercept. Substituting the values:
$y = -2x + 1$

Steps to Graph:

1. Plot the Y-Intercept: The y-intercept is $1$, so mark the point $(0, 1)$ on the graph.
2. Use the Slope: The slope $-2$ means "rise over run" is $\frac{-2}{1}$.
   • From $(0, 1)$, move down 2 units and right 1 unit to get the next point, $(1, -1)$.
   • Repeat this step to plot additional points if needed.
3. Draw the Line: Use a ruler to draw a straight line through the points.

Would you like me to generate a digital representation of this graph or explain anything further?

Related Questions:

1. How can you rewrite the slope-intercept equation into standard form?
2. What does the slope of $-2$ tell you about the direction of the line?
3. How would the graph change if the slope were positive instead?
4. What is the significance of the y-intercept in real-world scenarios?
5. How can you verify the accuracy of your graph mathematically?

Tip:

To check your graph, substitute the x-values of your plotted points into the equation $y = -2x + 1$. If the equation holds true, your points are correct!