Describe the steps for graphing a two-variable linear inequality

Question

e.mccormick · Answer

How far did you get with this?  And think about the equation of a line... it also has two variables.

anonymous · Answer

what you mean?

e.mccormick · Answer

Well, your standard line formulas: y=mx+b and so on.  x and y are variables.

anonymous · Answer

its a journal activity it just say (Describe the steps for graphing a two-variable linear inequality.)

e.mccormick · Answer

What would be so different between graphing that and say, $y\le mx+b$ or  $y> mx+b$?

anonymous · Answer

im not understanding.

e.mccormick · Answer

Once you know the difference in graphing a line vs. an inequality, then all you are describing is how to graph that line and the differences.  One of the differences will deal with the line itself and the other will deal with what area you shade to represent the < > part.

zzr0ck3r · Answer

solve the equation for y, 
plug in values for x
then you have the pair(x,y)
plot that on a graph.
do the same things with a different x value
plot that
draw a line connecting the dots

anonymous · Answer

I know that < dotted line shaded under > dotted line shaded above. and the same for the greater and equal to and the less than or equal to but its a solid line

e.mccormick · Answer

@Chris141400 Then you know how to answer this.  That is basically most of an answer to it.

anonymous · Answer

idk the rest

e.mccormick · Answer

@Chris141400 You still have to describe finding the line and how to test for what areas to shade.

@zzr0ck3r Huh? That sounds sort of like doing the line.  His question is about an inequality.

anonymous · Answer

how would I do that

e.mccormick · Answer

Which, find the line, test points, or describe them?

anonymous · Answer

describe

zzr0ck3r · Answer

pretend you are walking on the line y = mx+b
if you have y> then you shade everything below you
if you have y< then you shade everything above you

e.mccormick · Answer

Well, might be easiest to work from an example or three. https://www.desmos.com/calculator/bdgxika7ob Since you know how to find the line, start with that. Then describe determining which side would be shaded.

e.mccormick · Answer

Once you have it worked out for some example cases, you can generalize things.  When it is a calculation with > or $\ge$ the shaded area is bla...  if it is > < the line is bla... so on and so forth.

anonymous · Answer

thanks @e.mccormick

e.mccormick · Answer

np.  have fun!