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:
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
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