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Given two points, we can find the equation of the line.
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This video will find the equation of the line through two points, a and b, and also where they intercept the x and y axis.
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On the screen here, i have listed our two points, a and b, and then draw them on the coordinate plane.
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It is not to scale.
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It's just the representation along with the dotted line that should be d, the line we are looking for.
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Also listed are the equations that are needed.
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The first one is for the slope, and the second one is to give us the equation of the line.
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So let's start with the slope, which is what we need to do first.
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Basically, we write out our equation by placing our x and y here.
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That is over this 4 plus 206 over 607 minus 47.
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After doing division and everything, it equals 0 .375.
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So that's the slope.
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Now, placing this in the equation for our line, we have y equals mx plus b.
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So let's start y equals with our slope 0 .375x.
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And then what we're going to do is place in one of our points.
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So it'll be 0 .375 times 47 plus b...