document.write( "Question 115695: parallel to the line 5x-6y=-1; x-intercept=4 \n" ); document.write( "

Algebra.Com's Answer #87197 by HyperBrain(694) $\"\"$ $\"About$

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To know the slope of the line 5x-6y=-1, let's 'convert' this to slope-intercept form y=mx+b\r
\n" ); document.write( "\n" ); document.write( "where m is the slope and b is the y-intercept\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5x-6y=-1
\n" ); document.write( "-6y=-5x-1
\n" ); document.write( "6y=5x+1
\n" ); document.write( "y=5x/6+1/6\r
\n" ); document.write( "\n" ); document.write( "Thus, the slope of the given line and the unknown line must be 5/6\r
\n" ); document.write( "\n" ); document.write( "But, it has an x-intercept of 4 . That means that it passes through (4,0)\r
\n" ); document.write( "\n" ); document.write( "y=mx+b\r
\n" ); document.write( "\n" ); document.write( "GIVen: m=5/6, x=4, y=0\r
\n" ); document.write( "\n" ); document.write( "0=(5/6)(4)+b
\n" ); document.write( "0=10/3+b
\n" ); document.write( "b=-10/3\r
\n" ); document.write( "\n" ); document.write( "Substituting, \r
\n" ); document.write( "\n" ); document.write( "y=mx+b\r
\n" ); document.write( "\n" ); document.write( "y=5x/6-10/3\r
\n" ); document.write( "\n" ); document.write( "Multiply both sides by 6\r
\n" ); document.write( "\n" ); document.write( "6y=5x-20\r
\n" ); document.write( "\n" ); document.write( "The equation of the line is 5x-6y-20=0\r
\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain! \n" ); document.write( "

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