Graphing Linear Equations Essay

Connect the two points and draw arrows at either end to indicate that the line extends infinitely.

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Please, please, please make sure you always use a ruler to connect your points, so that you’re graphs are really precise.

And then lastly, make sure you put arrows on the ends to show that this line extends forever and ever in both directions.

My personal favourite is using y equals mx plus b strategies, and I’m going to show you how this problem can take me 10 seconds. Okay here we go, ready, set go I’ve got here take 4 here, from there I fill 1, 2, 3 get my ruler in place I’m almost there 5, 4, 3, 2, 1. You guys graphing lines when they’re already in y equals mx plus b form is one of my favourite things to do.

But hang one before we do that, I want to make sure you’re clear on what the problem is asking for. You can really bring out your inner Math nerd in these kinds of problem.

For this problem there are no fractions so we don’t need to worry about the first step in the process. So, we will clear out any parenthesis by multiplying the numbers through and then combine like terms.

\[\begin3\left( \right) & = 2\left( \right) - 2x\ 3x 15 & = - 12 - 2x - 2x\ 3x 15 & = - 12 - 4x\end\] The next step is to get all the \(x\)’s on one side and all the numbers on the other side.

Let me show you what I did in that pretty amazing 10 seconds. The first thing I did was put this dot right here at down 4 on the y axis.

The first thing I did was look to find the y intercept. From there, I counted the slope number which was 3 over 2, so from that dot, I’m going to go up 3 over 2 and make another dot, that’s where this guy came from. From there I just grabbed a ruler and connected them being really careful to extend the line and make arrows on the end to show that it goes on and on towards infinity.

Also, the variable may or may not be an \(x\) so don’t get too locked into always seeing an \(x\) there.

To solve linear equations we will make heavy use of the following facts.


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