SOLUTION: The line through A(x,3) and B(1/2, 2/3) is parallel to a line whose slope is 2. find the value of x.

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Question 724621: The line through A(x,3) and B(1/2, 2/3) is parallel to a line whose slope is 2. find the value of x.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Slope = ( change in y ) / ( change in x )
+%28+3+-+2%2F3+%29+%2F+%28+x+-+1%2F2+%29+=+2+
+9%2F3+-+2%2F3+=+2%2A%28+x+-+1%2F2+%29+
+7%2F3+=+2x+-+1+
+2x+=+10%2F3+
+x+=+5%2F3+
check answer:
+%28+3+-+2%2F3+%29+%2F+%28+5%2F3+-+1%2F2+%29+=+2+
+%28+9%2F3+-+2%2F3+%29+%2F+%28+10%2F6+-+3%2F6+%29+=+2+
+%28++7%2F3+%29+%2F+%28+7%2F6+%29+=+2+
+%28+1%2F3+%29+%2F+%28+1%2F6+%29+=+2+
+1%2F3+=+2%2A%281%2F6%29+
+1%2F3+=+1%2F3+
OK