SOLUTION: find the equation of the line containing the point p1(2,3)and p2(12,-2)

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Question 1114908: find the equation of the line containing the point p1(2,3)and p2(12,-2)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
P1( 2,3 )
P2( 12,-2 )
Use the general point-slope formula
+%28+y+-+3+%29+%2F+%28+x+-+2+%29+=+%28+-2+-+3+%29+%2F+%28+12+-+2+%29+
+%28+y+-+3+%29+%2F+%28+x+-+2+%29+=+%28-5%29+%2F+10+
+%28+y+-+3+%29+%2F+%28+x+-+2+%29+=+-1%2F2+
Multiply both sides by +2%2A%28+x+-+2+%29+
+2%2A%28+y+-+3+%29+=+-1%2A%28+x+-+2+%29+
+2y+-+6+=+-x+%2B+2+
+2y+=+-x+%2B+8+
+y+=+%28-1%2F2%29%2Ax+%2B+4+
----------------------------
Check:
Does the line go through the given points?
P1( 2,3 )
+3+=+%28-1%2F2%29%2A2+%2B+4+
+3+=+-1+%2B+4+
+3+=+3+
OK
You can check P2