Chapter 9.2, Problem 44STP

To determine

To choose:which equation represents the line graphed of values for the ordered pairs

Answer to Problem 44STP

The correct answer is F. $2x-y=-2$

Explanation of Solution

Given information:

Which of the following equations represents the line graphed below

  

Step 1 substitute a point $\left(x,y\right)$ into each equation. Let the point $\left(x,y\right)$ be $\left(1,4\right)$

The solution of equation F is

  $\begin{array}{l}2x-y=-2\\ 2\left(1\right)-4=-2\\ 2-4=-2\\ -2=-2\\ 2=2\end{array}$

The solution of equation G is

  $\begin{array}{l}x-y=-2\\ \left(1\right)-\left(4\right)=-2\\ 1-4=-2\\ -3=-2\\ 3\ne 2\end{array}$

The solution of equation H is

  $\begin{array}{l}x-y=0\\ \left(1\right)-\left(4\right)=0\\ 1-4=0\\ -3\ne 0\end{array}$

The solution of equation J is

  $\begin{array}{l}x+3y=-5\\ \left(1\right)+3\left(4\right)=-5\\ 1+12=-5\\ 13=-5\end{array}$

Hence, the correct answer is F. $2x-y=-2$