document.write( "Question 27635: Write an equation of a line that contains the given the given point and is parallel to the given line.\r
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document.write( "1.) (6,-2) 3x + 2y = 8
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document.write( "2.) (-1,7) 6x - 3y = 9
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document.write( "3.) (0,1) y = 3/7x - 8\r
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document.write( "Write an equation of a line that contains the given the given point and is perpendicular to the given line.\r
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document.write( "1.) (6,5) y = -1/2x + 1
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document.write( "2.) (9,-3) y = 3x + 8
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document.write( "3.) (0,4) y = -5/7x - 2\r
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document.write( "I'm desperate for some help!!!^^Thank you. \n" );
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Algebra.Com's Answer #15039 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! SEE THE FOLLOWING EXAMPLES WHICH ARE SAME AS YOURS AND TRY.IF STILL IN DIFFICULTY COME BACK.. \n" ); document.write( "Write an equation of a line that contains the given the given point and is parallel to the given line.\r \n" ); document.write( "\n" ); document.write( "1.) (6,-2) 3x + 2y = 8 \n" ); document.write( "PARALLEL LINES HAVE EQUAL SLOPES. \n" ); document.write( "SO PARALLEL LINE TO 3X+2Y=8 IS \n" ); document.write( "3X+2Y=K....IT IS PASSING THROUGH (6,-2)..SO \n" ); document.write( "3*6+2*-2=K=18-4=14 \n" ); document.write( "SO EQN.OF THE LINE IS \n" ); document.write( "3X+2Y=14 \n" ); document.write( "THE OTHER PROBLEMS ARE SIMILAR \n" ); document.write( "----------------------------------------------------------------------------- \n" ); document.write( "1. Write in slope intercept the equation of theline passing through the two points.Show that the line is perpindicular to the given line. \n" ); document.write( "(-2,-2), (1,3); y= 3x-1 \n" ); document.write( "EQN.OF LINE JOINING (X1,Y1) AND (X2,Y2) IS GIVEN BY \n" ); document.write( "Y-Y1=(X-X1)*(Y2-Y1)/(X2-X1), WHERE (Y2-Y1)/(X2-X1) IS THE SLOPE OF THE LINE AND Y1-X1*(Y2-Y1)/(X2-X1)IS THE INTERCEPT. \n" ); document.write( "HENCE EQN.OF LINE IS \n" ); document.write( "Y+2=(X+2)*(3+2)/(1+2)=X(5/3)+2*5/3 \n" ); document.write( "Y=X(5/3)+10/3-2=X(5/3)+4/3.....HENCE SLOPE IS 5/3 AND INTERCEPT IS 4/3 \n" ); document.write( "SLOPE OF GIVEN LINE Y=3X-1 IS 3 ,,,FOR 2 LINES TO BE PERPENDICULAR,THE PRODUCT OF THEIR SLOPES SHOULD BE -1.HERE THE PRODUCT IS 3*5/3=5..HENCE THEY ARE NOT PERPENDICULAR TO EACH OTHER..CHECK BACK YOUR NUMBERS...COPY THE PROBLEM PROPERLY.AS GIVEN THE LINES ARE NOT PERPENDICULAR. \n" ); document.write( "2. write in slope-intercept form the equation of the line passing through the given point and perpindicular to the given line. \n" ); document.write( "(-4,-7), y=-4x-7 \n" ); document.write( "SLOPE OF Y=-4X-7 IS -4 \n" ); document.write( "AS GIVEN ABOVE FOR 2 LINES TO BE PERPENDICULAR,THE PRODUCT OF THEIR SLOPES SHOULD BE -1.HENCE THE SLOPE OF THE REQUIRED LINE IS -1/-4=1/4 \n" ); document.write( "EQN.OF REQD. LINE IS \n" ); document.write( "Y+7=(1/4)(X+4)=X/4 + 1 \n" ); document.write( "Y= X/4 - 6 \n" ); document.write( " \n" ); document.write( " |