document.write( "Question 916961: I need your help. Can you do this for me ?Write the equation of the line that passes through (2 5) and perpendicular to the line 2y-3x=5. Write the answer in standard form \n" ); document.write( "
Algebra.Com's Answer #556427 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Write the equation of the line that passes through (2 5) and perpendicular to the line 2y-3x=5. Write the answer in standard form. \n" ); document.write( "*** \n" ); document.write( "equation of a line: y=mx+b, m=slope, b=y-intercept \n" ); document.write( "given line: \n" ); document.write( "2y-3x=5 \n" ); document.write( "2y=3x+5 \n" ); document.write( "y=(3-2)x+5/2 \n" ); document.write( "slope,m=3/2 \n" ); document.write( ".. \n" ); document.write( "slope of line perpendicular to given line=-2/3 (negative reciprocal) \n" ); document.write( "Equation: \n" ); document.write( "y=-(2/3)x+b \n" ); document.write( "solve for b using coordinates of given point(2,5) on the line \n" ); document.write( "5=-(2/3)*2+b \n" ); document.write( "b=5+4/3=19/3 \n" ); document.write( "equation: \n" ); document.write( "y=-(2/3)x+19/3 \n" ); document.write( "in std form: \n" ); document.write( "2x+3y=19 \n" ); document.write( " \n" ); document.write( " |