Question

Use a table of values to graph the equation. \(y=-1\)

Short answer

The graph of \(y = -1\) is a straight horizontal line crossing the y-axis at -1. All the points on the line have the y-coordinate as -1.

Step-by-step solution

Understand the equation

The equation \(y = -1\) is a horizontal line where all the points on the line have the y-coordinate as -1.

Construct a table of values

Choose several values for x to be able to draw the line. The values of x can be anything so it's common to choose simple numbers like -2, -1, 0, 1, 2. For each x, substitute x in to the equation to find y, here \(y = -1\) for all x-values.

Plot the points

Plot points using the values from step 2 on a graph grid: (-2,-1), (-1,-1), (0,-1), (1,-1), (2,-1)

Draw the graph

Finally, connect the points that have been plotted to create the graph for the equation