document.write( "Question 893: Given A(2,3) and B(5,8), write an equation of a line parallel to AB containing the point P(-2,-4). \n" ); document.write( "

Algebra.Com's Answer #295 by usyim88hk(158) $\"\"$ $\"About$

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First, find the slope of the line AB
\n" ); document.write( " $\"+%283-8%29%2F%282-5%29+\"$
\n" ); document.write( "which is equal to
\n" ); document.write( " $\"+5%2F3+\"$
\n" ); document.write( "then use the formula
\n" ); document.write( " $\"+y+=+mx%2Bb+\"$
\n" ); document.write( "m is the slope so we can now plug in (5/3) for m
\n" ); document.write( " $\"+y+=+%285%2F3%29x%2Bb+\"$
\n" ); document.write( "next, plug in (-2,-4) to the equation
\n" ); document.write( " $\"+-4+=+%285%2F3%29%28-2%29%2Bb+\"$
\n" ); document.write( "then, slove for b
\n" ); document.write( " $\"+-4+=+%28-10%29%2F3%2Bb+\"$
\n" ); document.write( " $\"+-4-%28-10%2F3%29+=+b+\"$
\n" ); document.write( " $\"+-4%2B%2810%2F3%29+=+b+\"$
\n" ); document.write( " $\"+-2%2F3+=+b+\"$
\n" ); document.write( "Finally, plug in -2/3
\n" ); document.write( " $\"y+=+%285%2F3%29x-%282%2F3%29+\"$ \n" ); document.write( "

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