To graph a line given the slope and y-intercept, follow these steps:

1. Y-intercept: The y-intercept is $-4$, which means the line crosses the y-axis at the point (0, -4). Plot this point first on the graph.

2. Slope: The slope is $-2$. A slope of $-2$ means that for every 1 unit you move to the right (positive direction on the x-axis), you move 2 units down (negative direction on the y-axis).

   • From the y-intercept point (0, -4), move 1 unit to the right and 2 units down to reach the point (1, -6).
   • Continue this pattern if needed, plotting additional points to ensure your line is accurate.

3. Draw the Line: Connect the points with a straight line extending in both directions across the graph.

Would you like more detailed steps or assistance with another part of this task? Here are some additional related questions:

1. What does a positive slope represent in a graph?
2. How does changing the y-intercept affect the graph?
3. What happens if the slope is zero?
4. How can you determine the slope from two points on a line?
5. What are alternative methods to graph linear equations?

Tip: When graphing, always plot more than one point to ensure accuracy before drawing the line.