One thing to keep in mind with slope, you can also move in that direction over instead of going up 1 and over 2 at the right, now I’m going to go down 1, over 2 to the left. Remember that the line extends forever in both directions using that constant slope ratio.It’s usually a good idea to put more than two dots on your graph just to make sure it’s pretty precise especially in situations like this where I have fractions and I might make a mistake.Also, the variable may or may not be an \(x\) so don’t get too locked into always seeing an \(x\) there.
One thing to keep in mind with slope, you can also move in that direction over instead of going up 1 and over 2 at the right, now I’m going to go down 1, over 2 to the left. Remember that the line extends forever in both directions using that constant slope ratio.Tags: Thesis Statement Question AnswerMulti Step Problem SolvingGoal Essay OutlineGrizzly Bear EssaysHelp Writing A Research PaperHome Daycare Business Plan Sample
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.
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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.From the y-intercept point, use the slope to find a second point.The numerator of the slope tells you how many units to move up or down from the intercept, and the denominator of the slope tells you how many units to move left or right in order to plot the second point.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.If you guys can get the hang of graphing lines in y equals mx plus b form, then equations like these where it’s almost in y equals mx plus b form can be really quick for you.When you’re asked to graph a line you always have a choice of what method to use. I’ve got my ruler handy let me get over to the graph so I’m ready. Wait, wait hang on before I do this I’m going to tell you after I do it what I did.In this section we will be solving linear equations and there is a nice simple process for solving linear equations.Let’s first summarize the process and then we will work some examples.