Chapter 8.3, Problem 11CYU

To determine

To calculate:To graph the equation

Explanation of Solution

Given information:

Equation is $x+y=6$

Formula Used:

To graph an equation, we need to consider some random values for one of the variables and solve for the other one to find the ordered pair and plot that on the graph.

Calculation:

Given equation is $x+y=6$

Therefore, $y=6-x$

Using the above explanation, we have -

Let the value of $x$ be $0$ , substituting the value of $x$ in the above equation, we have:

  $y=6-0$

Solving the above equation, we have :

  $y=6$

Thus, the first ordered pair is $\left(0,6\right)$ .

Using the same approach to find the other ordered pairs −

Let the value of $y$ be $0$ , substituting the value of $x$ in the above equation, we have:

  $0=6-x$

Solving the above equation, we have :

  $x=6$

Thus, the second ordered pair is $\left(-2,0\right)$ .

Thus, the two ordered pairs are $\left(0,6\right)$ and $\left(6,0\right)$ .

Plotting these points on the graph, we have: