# Graphing Linear Equations Essay

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.Which side the \(x\)’s go on is up to you and will probably vary with the problem.

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.

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

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.

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.

And if this line is in y equals mx plus b form, I can do my 10-second graphing. It’s going to be a little tricky because I have these fractions, but I’m still going to be able to put my first dot at 7/2 on the y-axis which by the way 7/2 is 3½, it’s a mixed number. Here is my y axis remember it’s the vertical one 1, 2, 3 and ½, there is my y-intercept.

But this one is not quite in y equals mx plus b form yet. So the first thing I’m going to do is undo that –x piece by adding x to both sides of the equal sign. Next thing I want to do is divide everything by 2, so that I’ll have y all by itself. From there I’m going to count up 1 box over 2, up 1 over 2, up 1 over 2 to show my slope. From there I want to count the slope which is up 1 box over 2, but be careful.

MA, Stanford University Teaching in the San Francisco Bay Area Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts To graph the equation of a line written in slope-intercept (y=mx b) form, start by plotting the y-intercept, which is the b value.

The y-intercept is where the line will cross the y-axis, so count up or down on the y-axis the number of units indicated by the b value.