SOLUTION: Which equation represents the line that passes through the points (–3, 7) and (9, –1)?

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Question 1094690: Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general point-slope formula
( -3,7 )
( 9, -1 )
+%28+y+-+%28-1%29+%29+%2F+%28+x+-+9+%29+=+%28+7+-%28-1%29+%29+%2F+%28+-3+-+9+%29+
+%28+y+%2B+1+%29+%2F+%28+x+-+9+%29+=+%28+7+%2B+1+%29+%2F+%28+-12+%29+
+%28+y+%2B+1+%29+%2F+%28+x+-+9+%29+=+-2%2F3+
Multiply both sides by +3%2A%28+x+-+9+%29+
+3%2A%28+y+%2B+1+%29+=+-2%2A%28+x+-+9+%29+
+3y+%2B+3+=+-2x+%2B+18+
+3y+=+-2x+%2B+15+
+y+=+%28-2%2F3%29%2Ax+%2B+5+
--------------------------
check:
(-3,7 )
+7+=+%28-2%2F3%29%2A%28-3%29+%2B+5+
+7+=+2+%2B+5+
+7+=+7+
----------------
(9,-1)
+-1+=+%28-2%2F3%29%2A9+%2B+5+
+-1+=+-6+%2B+5+
+-1+=+-1+
OK