Chapter 9.5, Problem 7OE

To determine

To graph: the equation with proper description.

Answer to Problem 7OE

There is no graph because one of the terms, $x$ or $y$ is equal to zero and also $k$ , the constant of variation is zero.

Explanation of Solution

Given:

  $xy=k$ when $k=0$ .

Concept used:

The product will also get $0$ whenever there is at least one factor is $0$ in an equation.

  $x\times \left(0\right)=0\text{ or }y\times \left(0\right)=0.$

Calculation:

According to the given:

  $xy=k$ .

When $k=0$ .

For equation to satisfy either $x$ is equal to $0$ or $y$ is equal to $0$ .

The product will also get $0$ whenever there is at least one factor is $0$ in an equation.

  $x\left(0\right)=0\text{ or }y\left(0\right)=0.$

Hence, there is no graph because one of the terms, $x$ or $y$ is equal to zero and also $k$ , the constant of variation is zero.