document.write( "Question 987389: Please help me solve this equation for a parallel line and a perpendicular line: y=1/4x-2; where the pass through points are (8, -1)\r
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document.write( "Thank you so much in advance,
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document.write( "C. Strickland \n" );
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Algebra.Com's Answer #608122 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Parallel line: \n" ); document.write( "Slope will be same as given line (m=1/4) \n" ); document.write( "Using slope-intercept form: \n" ); document.write( "y=mx+b \n" ); document.write( "y=(1/4)x+b Substitute values of given point (8,-1) to get b. \n" ); document.write( "-1=(1/4)8+b \n" ); document.write( "-1=2+b \n" ); document.write( "-3=b \n" ); document.write( "ANSWER 1: Equation of the parallel line through the given point: \n" ); document.write( ". \n" ); document.write( "y=(1/4)x-3 \n" ); document.write( ". \n" ); document.write( "Perpendicular line: \n" ); document.write( "Slope will be negative reciprocal of first slope (m=-4/1) \n" ); document.write( "Using slope-intercept form: \n" ); document.write( "y=mx+b \n" ); document.write( "y=-4x+b Substitute values of given point (8,-1) to get b. \n" ); document.write( "-1=-4(8)+b \n" ); document.write( "-1=-32+b \n" ); document.write( "31=b \n" ); document.write( "ANSWER 2: Equation of perpendicular line through given point: \n" ); document.write( ". \n" ); document.write( "y=-4x+31 \n" ); document.write( " |