Graph this function: y = -1/2 x – 3 Click to select points on the graph

To graph the function ( y = -frac{1}{2}x – 3 ), follow these steps:

1. Identify the slope and y-intercept: The slope is (-frac{1}{2}) and the y-intercept is (-3). This means the graph will cross the y-axis at the point (0, -3).

2. Plot the y-intercept: Start by marking the point (0, -3) on the graph.

3. Use the slope to find another point: Since the slope is (-frac{1}{2}), for every 2 units you move to the right (positive direction on the x-axis), you move 1 unit down (negative direction on the y-axis). From (0, -3), move right 2 units to (2, -3) and then down 1 unit to (2, -4).

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

5. Draw the line: Connect the two points with a straight line. This line will extend indefinitely in both directions.

Now you have a linear graph representing the function ( y = -frac{1}{2}x – 3 ).

Feel free to ask if you have more questions! For a more detailed analysis, you can check the extended services page.