SOLUTION: How do you graph 3x -4y < 12?

Algebra.Com
Question 146849: How do you graph 3x -4y < 12?
Answer by mangopeeler07(462)   (Show Source): You can put this solution on YOUR website!
First, change the original inequality into an equation. Just switch less than with equals. Then get the original equation into y=mx+b form. Solve for y, that is. You should get . The graph of this line looks like this:
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. 12/3 = 4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/-4 = -3.
  • Slope is -3/-4 = 0.75.
  • Equation in slope-intercept form: y=0.75*x+-3.


Now since it is less than and not equals, simply dot the line and shade the graph under it. Then you're done and you have successfully graphed , which is your original equation in y=mx+b form.

If you still need help understanding this concept, go to my lesson on graphing inequalities:
http://www.algebra.com/algebra/homework/Graphs/Inequalities-Made-Easy.lesson
RELATED QUESTIONS

How do I graph:... (answered by stanbon,Mathtut)
how do you graph... (answered by ReadingBoosters)
How do you graph... (answered by josgarithmetic,Fombitz)
how do you graph . 4x + y ≥ 4 and 3x -4y <... (answered by stanbon)
how do you graph this linear equation using three points? equation:... (answered by edjones)
how do you find the slope parallel ro the graph of... (answered by user_dude2008)
how do I graph this inequality... (answered by stanbon)
how do you find the slope of a line parallel to the graph of the equation of... (answered by checkley75)
graph... (answered by Zoop)