SOLUTION: Write the point slope form of the equation of the line. Then use the point slope form of the equation to write the slope intercept form. Passing through(3,4) and (2,1)

Algebra ->  Linear-equations -> SOLUTION: Write the point slope form of the equation of the line. Then use the point slope form of the equation to write the slope intercept form. Passing through(3,4) and (2,1)       Log On


   

Question 1040464: Write the point slope form of the equation of the line. Then use the point slope form of the equation to write the slope intercept form.
Passing through(3,4) and (2,1)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+y+-+4+%29+%2F+%28+x+-+3+%29+=+%28+1+-+4+%29+%2F+%28+2+-+3+%29+
+%28+y+-+4+%29+%2F+%28+x+-+3+%29+=+-3%2F%28-1%29+
(1) +%28+y+-+4+%29+%2F+%28+x+-3+%29+=+3+
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Note that I could have used ( 2,1 ) and done
it this way, but it turns out exactly the same:
+%28+y+-+1+%29+%2F+%28+x+-+2+%29+=+%28+4+-+1+%29+%2F+%28+3+-+2+%29+
(2) +%28+y+-+1+%29+%2F+%28+x+-+2+%29+=+3+
-------------------------------------
(1) +y+-+4+=+3%2A%28+x+-+3+%29+
(1) +y++-+4+=+3x+-+9+
(1) +y+=+3x+-+5+
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and, using (2,1 ),
(2) +y+-+1+=+3%2A%28+x+-+2+%29+
(2) +y+-+1+=+3x+-+6+
(2) +y+=+3x+-+5+
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Absolutely amazing!