WEBVTT
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So now what I'd like to show you is since I showed you now how to find the slope
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team two points right there is I just find two points plugged into our standard
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slope formula and found the slope. So now if I want to find the equation of the
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line I have to write in well what is the equation of a line? The equation of
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line is y equals m x plus b. So what I'm going to do is I'm going to write the
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equation of line using the slope intercept formula or slope intercept method.
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We could have also done the point slope but the slope intercept method is now I
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know what my slope is my m now equals two and what I need to do is I need to find
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out what is my y intercept what is my b. So I know that my x and my y those are
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both two points. So I just need to pick a point where I want to use. I'm going to
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pick x two and y two. It doesn't really matter but I'm going to use I'm going to
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pick these points. So I'm going to say all right six is now my y. m is two times
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x to seven plus b. I don't know what b is because that's your y intercept that's
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what you're trying to solve for because once I know my m is once I know my b I
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have an equation of a line. So I get six is equal to 14 plus b minus 14 minus 14
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a negative eight equals b. So now if you guys look at I have just solved for it
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and the previous problem and now I solved for my b. So when I write on my
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equation y equals two x minus eight I now have an equation of a line. So when you're
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trying to find an equation of a line whatever you're given you're going to be
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given multiple different things sometimes you give a slope sometimes you give
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two points which ever way whatever you're given you have to make sure you find
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your slope and your y intercept and that's how you get rid of line and slope
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intercept matter. Okay so that's how you find a slope two points then how to
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write the equation of a line.