SOLUTION: Two points on a parallel line m are (5,5)and(z+4,z−2). The coordinates of the second point are? The slope is -1/2

Algebra ->  Points-lines-and-rays -> SOLUTION: Two points on a parallel line m are (5,5)and(z+4,z−2). The coordinates of the second point are? The slope is -1/2      Log On


   

Question 1009319: Two points on a parallel line m are (5,5)and(z+4,z−2).
The coordinates of the second point are?
The slope is -1/2
Found 3 solutions by Alan3354, josmiceli, fractalier:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel to what?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use point-slope formula
+%28%28+z+-+2+%29+-+5+%29+%2F+%28+%28+z%2B+4+%29+-+5+%29+=+-1%2F2+
+%28+z+-+7+%29+%2F+%28+z+-+1+%29+=+-1%2F2+
Multiply both sides by +2%2A%28+z+-+1+%29+
+2%2A%28+z+-+7+%29+=+-1%2A%28+z+-+1+%29+
+2z+-+14+=+-z+%2B+1+
+3z+=+15+
+z+=+5+
and
+z%2B+4+=+9+
+z+-+2+=+3+
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The co-ordinates of the 2nd point are:
( 9,3 )
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check answer:
+%28+z+-+7+%29+%2F+%28+z+-+1+%29+=+-1%2F2+
+%28+5+-+7+%29+%2F+%28+5+-+1+%29+=+-1%2F2+
+-2%2F4+=+-1%2F2+
+-1%2F2+=+-1%2F2+
OK

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Then %28-1%2F2%29+=+%28z-2-5%29%2F%28z%2B4-5%29 and
%28-1%2F2%29+=+%28z-7%29%2F%28z-1%29
Now cross-multiply and get
-(z-1) = 2(z-7)
-z + 1 = 2z - 14
15 = 3z
z = 5
so that our 2nd point is
(9, 3)