Question

Use a table of values to graph the equation. $$ y=-(x-4) $$

Short answer

To graph the equation, generate a table of values, plot these values on the graph and then draw a line through them.

Step-by-step solution

- Generate Table Values

The first step is to pick a few values for x and calculate the corresponding y-values using the given equation. For example, if x is 2, then \(y=-(2-4) = 2\), and if x is 4, then \(y=-(4-4) = 0\), and so forth.

- Draw an X and Y axis

The next step is to draw an X and Y axis on a graph paper. Label the X and Y axis.

- Plot the values from the table

Take the values calculated in Step 1 (for example, (2,2) and (4,0)) and plot these onto the graph. Mark these points clearly.

- Draw the line

After all the points are plotted, draw a line through them. This line is the graph of the equation.