document.write( "Question 49435: Find the value of \" x \" such that the slope of the line containing (x,5) and (3,-1) is 4 \n" ); document.write( "

Algebra.Com's Answer #32826 by Born2TeachMath(20) $\"\"$ $\"About$

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This problem uses the formula for the slope backwards to find a missing value.
\n" ); document.write( "Start the problem with the equation for slope:
\n" ); document.write( " $\"m+=+%28y1+-+y2%29%2F%28x1+-+x2%29\"$
\n" ); document.write( "Plug in what we know:
\n" ); document.write( "x1 = x,
\n" ); document.write( "y1 = 5
\n" ); document.write( "x2 = 3
\n" ); document.write( "y2 = -1
\n" ); document.write( "m = 4
\n" ); document.write( "So $\"4+=+%285+-+-1%29%2F%28x+-+3%29\"$
\n" ); document.write( "Simplify: $\"4+=+6%2F%28x+-+3%29\"$ since 5 - -1 = 6
\n" ); document.write( "Solve:
\n" ); document.write( "4*(x - 3) = 6 (Cross multiply)
\n" ); document.write( "4x - 12 = 6 (Distribute the 4)
\n" ); document.write( "4x = 18 (Add 12 to both sides)
\n" ); document.write( "x = 18/4 (Divide both sides by 4)
\n" ); document.write( "x = 9/2 (Reduce the fraction to lowest terms) \n" ); document.write( "

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