Chapter 1.3, Problem 23E

To determine

To graph: the equation, $3x-y=7$

Answer to Problem 23E

  

Explanation of Solution

Given information:

  $3x-y=7$

The equation can be rewritten in slope intercept form as follows:

  $y=3x-7$

Calculation:

The above equation is already in slope intercept form. Now find value of y , by substituting different value of x.

Put $x=2$ in the slope intercept equation and simplify it as follows:

  $\begin{array}{c}y=3\left(2\right)-7\\ y=6-7\\ =-1\end{array}$

So, the first coordinate is $\left(2,-1\right)$ .

Put $x=-2$ in the slope intercept equation and simplify it as follows:

  $\begin{array}{c}y=3\left(-2\right)-7\\ y=-6-7\\ =-13\end{array}$

So, the second coordinate is $\left(-2,-13\right)$ .

Now, graph the line straight to these points, and it will be formed as follows: