Graph this function: y = -1/2 x – 4 Click to select points on the graph

To graph the function ( y = -frac{1}{2}x – 4 ), follow these steps:

1. Identify the slope and y-intercept: The slope is (-frac{1}{2}) and the y-intercept is (-4). This means the line will fall as you move from left to right.

2. Plot the y-intercept: Start by plotting the point (0, -4) on the graph. This is where the line crosses the y-axis.

3. Use the slope to find another point: From the y-intercept (0, -4), use the slope (-frac{1}{2}). This means for every 2 units you move to the right (positive x-direction), you move 1 unit down (negative direction).

– So, starting at (0, -4), moving to the right 2 units gives you (x = 2) and then moving down 1 unit gives you (y = -5), resulting in the point (2, -5).

4. Plot the second point: Mark the point (2, -5) on the graph.

5. Draw the line: Connect these two points with a straight line extending in both directions.

6. Check for more points: If needed, you can create additional points by repeating the process with the slope.

Your completed graph will