document.write( "Question 705287: Find an equation for the line with the given properties.
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document.write( "A) Parallel to the line y=-3x; containing the point (5,6)?
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document.write( "B) Perpendicular to the line y=4x+2; containing the point (2,2)?\r
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Algebra.Com's Answer #434590 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find an equation for the line with the given properties. \n" ); document.write( "** \n" ); document.write( "A) Parallel to the line y=-3x; containing the point (5,6)? \n" ); document.write( "Equation of a line: y=mx+b, m=slope, b=y-intercept \n" ); document.write( "For given line y=-3x: slope=-3 \n" ); document.write( "Parallel line will have the same slope. \n" ); document.write( "Equation: y=-3x+b \n" ); document.write( "solve for b using coordinates of given point(5,6) \n" ); document.write( "6=-3*5+b \n" ); document.write( "b=21 \n" ); document.write( "Equation of parallel line: y=-3x+21 \n" ); document.write( ".. \n" ); document.write( "B) Perpendicular to the line y=4x+2; containing the point (2,2)? \n" ); document.write( "For given line y=4x+2: slope=4 \n" ); document.write( "Perpendicular line line will have a slope=negative reciprocal of slope of given line=-1/4. \n" ); document.write( "Equation: y=-x/4+b \n" ); document.write( "solve for b using coordinates of given point(2,2) \n" ); document.write( "2=-2/4+b \n" ); document.write( "b=5/2 \n" ); document.write( "Equation of perpendicular line line: y=-x/4+5/2 \n" ); document.write( " |