Chapter SH, Problem 3.2EP

To determine

To graph the equation $x+y=6$ .

Answer to Problem 3.2EP

Graph:

  

Explanation of Solution

Given information:

The equation is $x+y=6$ .

Calculation:

  $x+y=6$

Substituting $x=0$in the equation

  $0+y=6$

So,

  $y=6$

Substituting $y=6$in the equation

  $x+0=6$

so,

  $x=6$

Putting values of x and y in the table form

  

Using table to find slope

  $m=\frac{\Delta y}{\Delta x}=\frac{y_1-y_0}{x_{1-}{x}_0}$

  $m=\frac{0-6}{6-0}$

So ,

  $m=\frac{-6}{6}$

On solving,

  $m=-1$

The graph of the given equation is