Chapter 1.3, Problem 127AYU

To determine

To conclude: about the member of the family from the graph

Answer to Problem 127AYU

Each member of family is parallel to each other

Explanation of Solution

Given:

  $2x-y=C$

Calculation:

Family of lines$2x-y=C$ ,

Lines for different values of $C$

  $\begin{array}{l}C=-4,0,2\\ 2x-y=-4\\ 2x-y=0\\ 2x-y=2\end{array}$

Different lines are plotted below

  

Each member of family is parallel to each other.

Conclusion:therefore, each member of family is parallel to each other