document.write( "Question 211712: Given that (3,7) and (-5,-8) are on the same line, determine (using algebra) if the point (-33,-2/3) lies on the same line \n" ); document.write( "

Algebra.Com's Answer #159957 by HyperBrain(694) $\"\"$ $\"About$

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Given: two points (3,7) and (-5,-8)
\n" ); document.write( "Using these points, we can find the slope of the line passing through them.
\n" ); document.write( " $\"m=%287-%28-8%29%29%2F%283-%28-5%29%29=15%2F8\"$
\n" ); document.write( "Using the point slope form of the line y-k=m(x-h) where (h,k) is on the line, the equation of the line is
\n" ); document.write( "y-3=15/8(x-7)
\n" ); document.write( "---
\n" ); document.write( "If (-33,-2/3) is on the line, it must satisfy the equation.
\n" ); document.write( "---
\n" ); document.write( "(-2/3)-3=15/8(-33-7)
\n" ); document.write( "(-2/3)-3=15/8(-40)
\n" ); document.write( "(-2/3)-3=15(-5)
\n" ); document.write( "(-2/3)-(9/3)=-45
\n" ); document.write( "-11/3=-45
\n" ); document.write( "---
\n" ); document.write( "This is a false statement, so the point (-33,-2/3) is not on the line. \n" ); document.write( "

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