Chapter 8, Problem 6PT

To determine

To graph: the given equation

Answer to Problem 6PT

  

Explanation of Solution

Given:

Consider the equation: $y=x-6$

Calculation:

Step 1: Put the value of $y=0$ to find the x - intercept

  $0=x-6$

Add both sides of equation by 6.

  $\begin{array}{l}0+6=x-6+6\\ 6=x\end{array}$

Since, when $x=6$ then ordered pair is $\left(6,0\right)$

Step 2: Now, put the value of $x=0$ to find the y - intercept

  $\begin{array}{l}y=0-6\\ y=-6\end{array}$

Since, when $y=-6$ then ordered pair is $\left(0,-6\right)$

Step 3: Plot the points and draw the line

  

Conclusion:

Therefore, graph of the equation $y=x-6$ is shown.