document.write( "Question 371963: How do you find the points on the line given the equation of the line?
\n" ); document.write( "If the line contains points (a, 8) and (5, b) given the equation of the line: y=-2x+2? :/
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Algebra.Com's Answer #264964 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "y=-2x+2 line contains points (a, 8) and (5, b)
\n" ); document.write( "\"m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"
\n" ); document.write( "(a, 8) and (5, b)
\n" ); document.write( "\"%28%28b-8%29%2F%285-a%29%29+=+%28-2%2F1%29\"
\n" ); document.write( "cross multiplying
\n" ); document.write( "-2(5-a) = (b-8)
\n" ); document.write( "-10 + 2a + 8 = b
\n" ); document.write( "2a - 2 = b
\n" ); document.write( "y=-2x+2 Using ordered pair(5,b)
\n" ); document.write( "b = -2*5 + 2
\n" ); document.write( "Substituting for b
\n" ); document.write( "2a - 2 = -2*5 + 2
\n" ); document.write( "2a - 2 = -8
\n" ); document.write( "2a = -6
\n" ); document.write( "a = -3 and b is -8 (2*-3 - 2)
\n" ); document.write( "(-3, 8) and (5, -8)
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