SOLUTION: When using point-form in algebra what do you do? y-y1=m(x-x1)

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Question 173898: When using point-form in algebra what do you do? y-y1=m(x-x1)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The staring point would be
m+=+%28y+-+y%5B1%5D%29+%2F+%28x+-+x%5B1%5D%29
Where m = slope and (x%5B1%5D,y%5B1%5D) is a
known point on the line
Now if you multiply both sides by x+-+x%5B1%5D, you get
y+-+y%5B1%5D+=+m%2A%28x+-+x%5B1%5D%29
At this point, if you're given m and
(x%5B1%5D,y%5B1%5D) you can just plug those values in
and put the equation in the form y+=+mx+%2B+b.
If nothing more is given, though, you can still put this
in the form y+=+mx+%2B+b
y+-+y%5B1%5D+=+m%2A%28x+-+x%5B1%5D%29
y+=+m%2A%28x+-+x%5B1%5D%29+%2B+y%5B1%5D
y+=+mx+-+m%2Ax%5B1%5D+%2B+y%5B1%5D answer
The 2 terms together +-m%2Ax%5B1%5D+%2B+y%5B1%5D equal b,
the y-intercept in y+=+mx+%2B+b
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For an example, say m+=+2 and x%5B1%5D+=+3,y%5B1%5D+=+7
y+=+mx+-+m%2Ax%5B1%5D+%2B+y%5B1%5D
y+=+2x+-+2%2A3+%2B+7
y+=+2x+-+6+%2B+7
y+=+2x+%2B+1
b+=+1
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Now just plugging in the data into y+=+mx+%2B+b, I get
7+=+2%2A3+%2B+b
b+=+7+-+6
b+=+1
OK