SOLUTION: Determine the slop of the line through the points (-1/2 ,-2) and (3/2 , 1)

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Question 882809: Determine the slop of the line through the points (-1/2 ,-2) and (3/2 , 1)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the point-slope formula

+%28+y+%2B+2+%29+%2F+%28+x+%2B+1%2F2+%29+=+%28+1+%2B+2+%29+%2F+%28+3%2F2+%2B+1%2F2+%29+
+%28+y+%2B+2+%29+%2F+%28+x+%2B+1%2F2+%29+=+3+%2F+2+
Multiply both sides by +2%2A%28+x+%2B+1%2F2+%29+
+2%2A%28+y+%2B+2+%29+=+3%2A%28+x+%2B+1%2F2+%29+
+2y+%2B+4+=+3x+%2B+3%2F2+
+2y+=+3x+%2B+3%2F2+-+8%2F2+
+2y+=+3x+-+5%2F2+
+y+=+%283%2F2%29%2Ax+-+5%2F4+
---------------------
The slope is 3/2
check:
( -1/2 , -2 )
+y+=+%283%2F2%29%2Ax+-+5%2F4+
+-2+=+%283%2F2%29%2A%28-1%2F2%29+-+5%2F4+
+-2+=+-3%2F4+-+5%2F4+
+-2+=+-2+
and
( 3/2 , 1 )
+y+=+%283%2F2%29%2Ax+-+5%2F4+
+1+=+%283%2F2%29%2A%283%2F2%29+-+5%2F4+
+1+=+9%2F4+-+5%2F4+
+1+=+1+
OK