Question

Use a table of values to graph the equation. \(y=3 x+2\)

Short answer

After plotting the points (-2, -4), (-1, -1), (0, 2), (1, 5), and (2, 8) on the graph and then connecting them, the line we obtain is the graph of the equation \(y = 3x + 2\).

Step-by-step solution

Determine the x values

Choose any arbitrary values for x. Typically, it is good to select a few negative, zero, and positive values. Let's go with -2, -1, 0, 1, and 2.

Substituting the x-values into the equation

After the x-values are selected, substitute each of the x-values in the equation \(y = 3x + 2\) to find the corresponding y-values. That will give us the following pairs: (-2, -4), (-1, -1), (0, 2), (1, 5) and (2, 8).

Plot the points on a graph

Plot the pairs of (x, y) you have obtained from the previous step onto a graph. The points will be (-2, -4), (-1, -1), (0, 2), (1, 5), and (2, 8). When you connect these points, it forms a straight line, which is the graph of the equation \(y = 3x + 2\).