Question

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

Short answer

The graphed line passes through the points (-1,1), (0,2), and (1,3). This represents the equation \(y=x+2\).

Step-by-step solution

Setup table of values

Start by setting up a table with two columns, one for \(x\) and one for \(y\). Pick several values for \(x\) as shown: \n For \(x = -1, 0, 1\).

Substitute \(x\) into \(y = x + 2\) to obtain corresponding \(y\)

Substitute the selected values of \(x\) into the equation to get corresponding \(y\) values. The results are as follows: \n When \(x = -1\), \(y = -1+2 = 1\), \n When \(x = 0\), \(y = 0+2 = 2\), \n When \(x = 1\), \(y = 1+2 = 3\).

Plotting the points and graph the line

With the pairs (-1, 1), (0, 2), and (1, 3), plot these points on the graph and draw a line that passes through them. This line is the graph of the equation \(y=x+2\).