Use the equation y=2x+2 for this problem.

a. Create an input/output table.

b. Graph the ordered pairs from the
table.

c. Describe each of the variables as the independent or the dependent variable

a. pick some values for x, and then calculate y.

b. pick two of the (x,y) pairs and plot them on graph paper. Draw a line through the two points. All of the other points in your table will also lie on this line. If they do not, you have made a mistake.

c. x is independent. You can pick any value you want. Once chosen, the value of y depends on x, according to the equation.

But if choose any value of y ,we can get some value of x also for every y .Then ,why x is not an independent variable ?

To create an input/output table for the equation y=2x+2, we need to choose a set of x-values and use the equation to find the corresponding y-values. Here's how you can do that:

a. Creating an input/output table:
We can start by selecting a few values for x, such as -2, -1, 0, 1, and 2. Substitute each of these values into the equation y=2x+2 to find the corresponding y-values. The table will look like this:

x | y
-2 | -2
-1 | 0
0 | 2
1 | 4
2 | 6

b. Graphing the ordered pairs from the table:
Plot the ordered pairs (x, y) from the table onto a coordinate plane. The x-values will be plotted on the horizontal axis (x-axis), and the corresponding y-values on the vertical axis (y-axis). Connect the points to create a line. The graph for y=2x+2 will be a straight line that goes through these points.

c. Describing the variables:
In the equation y=2x+2, the variable x is the independent variable. It represents the input values or the values we choose for the equation. The variable y is the dependent variable. It represents the output values or the values that are dependent on the values of x. In other words, y depends on the value of x based on the equation y=2x+2.