Question

Use a table of values to graph the equation. $$y=2$$

Short answer

The graph for \(y=2\) is a straight line parallel to the x-axis going through the point (0,2) on the y-axis.

Step-by-step solution

Understanding the equation

First, understand the equation \(y=2\). This is a simple linear equation where \(y\) is always equal to \(2\), irrespective of the value of \(x\). This type of lines are parallel to the x-axis.

Construct a table of values

Next, create a table of values with \(x\) ranging from, say, \(-3\) to \(3\). For every value of \(x\), \(y\) is \(2\). Your table should look like: \n \(x\): \(-3, -2, -1, 0, 1, 2, 3\) \n \(y\): \(2, 2, 2, 2, 2, 2, 2\)

Plot the points and draw the graph

Now plot these points on a graph. Draw the x-axis and y-axis and mark the points from the table on the graph. Once all points from the table are marked on the graph, you will notice that they form a straight line. Connect these points using a straight edge to graph the line \(y=2\).