Question

In the following exercises, graph by plotting points.

$x-y=6$

Short answer

The graph of the equation is

Step-by-step solution

Step 1. Given information

Equation to be plotted is

$x-y=6$

it can be rewritten as

$y=x-6$

Step 2. To find three points whose coordinates are solution to the equation    

When$x=0$

$$\begin{gathered} y=0-6 \\ y=-6 \end{gathered}$$

When$x=2$

$$\begin{gathered} y=2-6 \\ y=-4 \end{gathered}$$

When $x=-1$

$$\begin{gathered} y=-1-6 \\ y=-7 \end{gathered}$$

Now arrange these values in a table

x	y	(x,y)
0	-6	(0,-6)
2	-4	(2,-6)
-1	-7	(-1,7)

Step 3. Plot these points in a rectangular coordinate system     

points(0,-6), (2,-4) and (-1,-7) are plotted as

Step 4. Draw the line through three points and extend the line.     

The line is the graph of the equation