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Hi Welcome to MooMooMath. Today we are going to look at the basic equation of a line. We usually try to write the line in what is called y intercept form which is y equals mx plus b where x and y stay as variables you will not plug in to those when you define this lines equation because they are different values depending on where you are in the line. You are going to define the M which stands for slope and we can remember this by M stands for mountains and mountains have slope and then b is your y intercept. So here is a line graph and the other thing you have to notice is that in a linear equation X is always to the first power. We don't write it we assume that there is a little 1 here so any time we have an X to the first power we know we have a linear equation. So next we are going to count our slope and this one has a 3 over 3 slopes (rise3, run 3) so that means we have a slope of 1. Now for M I will plug in the value of 1X Next I will plug in the value of the Y intercept. To find this go to the Y axis and then look and see where the line crosses the line crosses at this value which is above the X axis so it is a positive value so B is equal to positive 3. So the equation is going to be 1X plus 3 is equal to Y and that will be the equation for the line. Now let's look at another example and here is our Cartesian coordinate plane and we will draw a line. So I will write the equation Y=mx +b Next I will underline all that I need to replace. I need to find m and I will need to find b so let's count our slope. It looks like it goes up 2 and over 3 so my slope is 2/3 X Now I need to find the intercept. Where does the line cross the Y axis? It goes at two but it is below the X axis so it is negative 2. So my final equation will be y= 2/3X =2 that is the basics of a linear equation. Here is a quick overview. The equation is y=mx + b m=the slope, b=the y intercept and x and y are variables. You take Y= ___ X + ____ and fill in m for the slope and y for the b intercept. So looking at this example the slope is 2 over 1 or 2 and the line intercepts at 2 so the equation will be Y = 2X + 2 Hope this video was helpful.
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Tagged under: lines basics,math ,intercept, lines,equation,slope ,moomoomath,geometry
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