Final answer:
To fill in the table using the equation y=4x-4, replace the x-value with each value from the table to find the corresponding y-value, highlighting the linear dependence of y on x.
Step-by-step explanation:
To fill in the table of values using the equation y=4x-4, you would replace the x-value in the equation with each value from the table and solve for y accordingly.
This demonstrates the dependence of y on x and creates a relationship where for every increase in x, y increases by a multiple of 4, minus 4. Here is a step-by-step explanation for filling out the table of values:
- For x=1: y = 4(1) - 4 = 4 - 4 = 0
- For x=2: y = 4(2) - 4 = 8 - 4 = 4
- For x=3: y = 4(3) - 4 = 12 - 4 = 8
- For x=4: y = 4(4) - 4 = 16 - 4 = 12
- ... (and so on for other values of x)
By plotting these points, you could visualize the linear graphical representation of the equation on a graph. This process helps in understanding the linear relationship where y is a function of x.