SOLUTION: the number of volunteers of a worldwide organization has increased from 5.7 million in 2002 to 11.5 million in 2011. Find an equation for the line containing the given points. Let

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Question 1009947: the number of volunteers of a worldwide organization has increased from 5.7 million in 2002 to 11.5 million in 2011. Find an equation for the line containing the given points. Let x represent the number of years after 2000 and y the number of volunteers, in millions.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You are given 2 points:
( 2, 5.7 ) meaning 2002, 5.7 million
( 11, 11.5 ) meaning 2011, 11.5 million
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Use the general point-slope formula
+%28+y+-+5.7+%29+%2F+%28+x+-+2+%29+=+%28+11.5+-+5.7+%29+%2F+%28+11+-+2+%29+
+%28+y+-+5.7+%29+%2F+%28+x+-+2+%29+=+5.8+%2F+9+
Multiply both sides by +9%2A%28+x-2+%29+
+9%2A%28+y+-+5.7+%29+=+5.8%2A%28+x-2+%29+
+9y+-+51.3+=+5.8x+-+11.6+
+9y+=+5.8x+%2B+39.7+
+y+=+.644x+%2B+4.411+
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check:
( 2, 5.7 )
+5.7+=+.644%2A2+%2B+4.411+
+5.7+=+1.288+%2B+4.411+
+5.7+=+5.699+
close enough
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( 11,11.5 )
+11.5+=+.644%2A11+%2B+4.411+
+11.5+=+7.084+%2B+4.411+
+11.5+=+11.495+
close enough