Final answer:
To graph the line y = -2x - 4 using the scale provided, calculate y-values for selected x-values within the given range, plot those points, and then draw a line through them.
Step-by-step explanation:
The task is to draw the graph of the line y = -2x - 4 using a scale where 1 cm represents 1 unit on both axes, for x-values ranging from -6 to 4, and y-values from -8 to 8. To plot this line, we will calculate the y-values using the given equation for x values of -6, 0, and 4.
- For x = -6, y = -2(-6) - 4 = 12 - 4 = 8.
- For x = 0, y = -2(0) - 4 = -4.
- For x = 4, y = -2(4) - 4 = -8 - 4 = -12, but this value falls outside our y-range so we only use x = -6 and x = 0.
We place a point at (0, -4) and another at (-6, 8) on the graph. Drawing a straight line through these points will result in the graph of the equation. Remember to label your axes with x and y and ensure the labels include units.