document.write( "Question 54879: write an equation in slope intercept form for the line that satisfies each set of conditions.\r
\n" ); document.write( "\n" ); document.write( "passes through (4,6) parallel to the graph of Y=2/3x+5
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Algebra.Com's Answer #37150 by funmath(2933)\"\" \"About 
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write an equation in slope intercept form for the line that satisfies each set of conditions.
\n" ); document.write( "passes through (4,6) parallel to the graph of Y=2/3x+5
\n" ); document.write( "The line you're given is in slope intercept form: \"highlight%28y=mx%2Bb%29\" where m=slope and (0,b)=y-intercept.
\n" ); document.write( "\"y=highlight%282%2F3%29x%2B5\" it's slope m=2/3.
\n" ); document.write( "Parallel lines have the same slope, so you need and equation of a line with a slope m=2/3 going through (x1,y1)=(4,6)
\n" ); document.write( "When you have a point and a slope and need the equation of a line you use the point slope formula: \"highlight%28y-y1=m%28x-x1%29%29\", where m=slope and (x1,y1) is the point you're going through.
\n" ); document.write( "your m=2/3 and (x1,y1)=(4,6)
\n" ); document.write( "\"y-6=%282%2F3%29%28x-4%29\"
\n" ); document.write( "\"3%28y-6%29=3%282%2F3%29%28x-4%29\"
\n" ); document.write( "\"3y-18=%286%2F3%29%28x-4%29\"
\n" ); document.write( "\"3y-18=2%28x-4%29\"
\n" ); document.write( "\"3y-18=2x-8\"
\n" ); document.write( "\"3y-18%2B18=2x-8%2B18\"
\n" ); document.write( "\"3y=2x%2B10\"
\n" ); document.write( "\"3y%2F3=2x%2F3%2B10%2F3\"
\n" ); document.write( "\"highlight%28y=%282%2F3%29x%2B10%2F3%29\"
\n" ); document.write( "Happy Calculating!!!
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