Chapter 1, Problem 64SGA

To determine

To graph: $y-3x>2$

Answer to Problem 64SGA

  

Explanation of Solution

Given information:

  $y-3x>2$

Calculation:

Convert the equation into slope intercept form as follows:

  $\begin{array}{c}y-3x>2\\ y>3x+2\end{array}$

First graph the line for $y=3x+2$ . Greater than sign $(>)$ means use dotted line.

  

Now, choose a test point on each side of the line as shown below.

True test point $\left(-2,-2\right)$	$\begin{array}{l}-2>3\left(-2\right)+2\\ -2>-4\end{array}$
False test point $\left(0,0\right)$	$\begin{array}{l}0>3\left(0\right)+2\\ 0>2\end{array}$

Shade the side of above graph with the true test point as shown below.