SOLUTION: What is the distance between the lines y = 2x and y = 2x+5 ?

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Question 1126933: What is the distance between the lines
y = 2x
and
y = 2x+5
?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The separation between the line will
have slope +-1%2Fm+=+-1%2F2+
If I pick the point ( 0,5 ) which is on
the line +y+=+2x+%2B+5+, then:
+%28+5+-+y+%29+%2F+%28+0+-+x+%29+=+-1%2F2+
+5+-+y+=+%28-1%2F2%29%2A%28-x%29+
+5+-+y+=+x%2F2+
+y+=+%28-1%2F2%29%2Ax+%2B+5+
---------------------------
Find intersection of this line with +y+=+2x+
+2x+=+%28-1%2F2%29%2Ax+%2B+5+
+%285%2F2%29%2Ax+=+5+
+x+=+2+
and
+y+=+2x+
+y+=+4+
------------------
find distance between ( 0,5 ) and ( 2,4 )
+d+=+sqrt%28+%28+2+-+0+%29%5E2+%2B+%28+4+-+5+%29%5E2+%29+
+d+=+sqrt%28+4+%2B+1+%29+
+d+=+sqrt%285%29+
----------------------
check the math