document.write( "Question 672210: Consider the following.
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document.write( "Point: (6,1) Line: 6x − 2y =1\r
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document.write( "(a) Write the slope-intercept form of the equation of the line through the given point and parallel to the given line.
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document.write( "y = \r
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document.write( "(b) Write the slope-intercept form of the equation of the line through the given point and perpendicular to the given line.
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document.write( "y = \n" );
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Algebra.Com's Answer #417830 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Consider the following. \n" ); document.write( "Point: (6,1) Line: 6x − 2y =1 \n" ); document.write( "(a) Write the slope-intercept form of the equation of the line through the given point and parallel to the given line. \n" ); document.write( "y = \n" ); document.write( "(b) Write the slope-intercept form of the equation of the line through the given point and perpendicular to the given line. \n" ); document.write( "y = \n" ); document.write( "** \n" ); document.write( "Standard form of equation for a line: y=mx+b, m=slope, b=y-intercept \n" ); document.write( "equation of given line: \n" ); document.write( "6x-2y=1 \n" ); document.write( "2y=-6x+1 \n" ); document.write( "y=-3x+1/2 \n" ); document.write( "slope,m=-6 \n" ); document.write( ".. \n" ); document.write( "(a) slope of line parallel to given line=-6 (same as that of given line) \n" ); document.write( "Equation: y=-6x+b \n" ); document.write( "solve for b using given point (6,1) \n" ); document.write( "1=-6*6+b \n" ); document.write( "1=-36+b \n" ); document.write( "b=37 \n" ); document.write( "Equation of parallel line: y=-6x+37 \n" ); document.write( ".. \n" ); document.write( "(b) slope of line perpendicular to given line=1/6 (negative reciprocal of slope of given line) \n" ); document.write( "Equation: y=x/6+b \n" ); document.write( "solve for b using given point (6,1) \n" ); document.write( "1=6/6+b \n" ); document.write( "1=1+b \n" ); document.write( "b=0 \n" ); document.write( "Equation of perpendicular line: y=x/6 \n" ); document.write( " \n" ); document.write( " |