Chapter 6.4, Problem 39SR

To determine

Graph the inequality.

Answer to Problem 39SR

Graph of the given inequality:

  

Explanation of Solution

Given information:. We have given inequality $y\le -4x+12$

Solution: Use the slope −intercept form to find the slope and y-intercept.

The slope −intercept form is $y=mx+b$ , where m is the slope and b is the y -intercept.

Find the values of m and b for $y=-4x+12$ .

  $\begin{array}{l}m=-4\\ b=12\end{array}$

The slope of the line is − 4 and the y −intercept is 12.

Plot y-intercept (0, 12) first.

Plot one more point using $\frac{Rise}{Run}=\frac{-4}{1}.$

Another coordinate will be $\left(0+1,12-4\right)=(1,8).$

For $\le$ inequality sign draw a solid line by joining the points (0,12) and (1,8) and shade down the solid line.