Question

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

Short answer

The graph of the line \(y=-2\) is a horizontal line crossing the y-axis at -2

Step-by-step solution

Understand the equation

The given equation is \(y=-2\), which is a horizontal line equation. In such cases, the y value remains constant (-2 in this case) while x can be any real number.

Make a table of values

Next, make up some values for x and write corresponding y values using the given equation. You can choose any values for x such as -2, -1, 0, 1, 2. Since y is constant and equal to -2, all values of y in the table will be -2.

Plot the points and draw the line

Next, plot the points from the table on a coordinate plane. Since all y values are -2, the dots should align to form a horizontal line through -2 on y-axis.