Chapter 12, Problem 74CLR

To determine

To graph: The solution set of the given equation.

Answer to Problem 74CLR

The graph is shown in Figure 1.

Explanation of Solution

Given:

The equation is $2x-y=5$ .

Calculation:

Consider the given equation $2x-y=5$. Reduce the equation for y in terms of x , as shown below:

  $\begin{array}{c}2x-y=5\\ 2x-y-2x=5-2x\left[\text{Subtracting }2x\text{ from both sides}\right]\\ -y=5-2x\\ y=2x-5\left[\text{Multiplying both sides by }-1\right]\end{array}$

Create a table to obtain the values of y for different values of x .

x	y
-2	-9
-1	-7
0	-5
1	-3
2	-1

Table 1

Plot the coordinates $\left(x,y\right)$ from Table 1 in a graphing utility and join the points with a straight line.

  

Figure 1