SOLUTION: 3. Graph on a plane: 3x � 6y

SOLUTION: 3. Graph on a plane: 3x � 6y < 18

Question 215259This question is from textbook Intermediate Algebra
: 3. Graph on a plane: 3x � 6y < 18

This question is from textbook Intermediate Algebra

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
3. Graph on a plane: 3x � 6y < 18

Step 1. Before graphing the inequality let's look at the equality 3x-6y=8 which will help graph the inequality

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 18/3 = 6.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 18/-6 = -3.
Slope is -3/-6 = 0.5.
Equation in slope-intercept form: y=0.5*x+-3.

Step 2. Now let's graph the inequality

Solved by pluggable solver: Plot Any Inequality

Graphing function :

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

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