document.write( "Question 312682: Write an equation of the line containing the given point and parallel to the given line? (-8,5)4x=5y+3. \n" ); document.write( "

Algebra.Com's Answer #223611 by Fombitz(32388) $\"\"$ $\"About$

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Put the line in slope-intercept form, $\"y=mx%2Bb\"$
\n" ); document.write( " $\"+4x=5y%2B3\"$
\n" ); document.write( " $\"5y=4x-3\"$
\n" ); document.write( " $\"y=%284%2F5%29x-3%2F5\"$
\n" ); document.write( "Parallel lines have identical slopes.
\n" ); document.write( "The slope for the given line is $\"m=4%2F5\"$
\n" ); document.write( "Use the point-slope form of a line with the point (-8,5),
\n" ); document.write( " $\"y-yp=m%28x-xp%29\"$
\n" ); document.write( " $\"y-5=%284%2F5%29%28x-%28-8%29%29\"$
\n" ); document.write( " $\"y-5=%284%2F5%29x%2B32%2F5\"$
\n" ); document.write( " $\"y=%284%2F5%29x%2B32%2F5%2B25%2F5\"$
\n" ); document.write( " $\"y=%284%2F5%29x%2B57%2F5\"$
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\n" ); document.write( "or in standard form,
\n" ); document.write( " $\"5y=4x%2B57\"$
\n" ); document.write( " $\"-4x%2B5y=57\"$ \n" ); document.write( "

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