document.write( "Question 477152: Determine the value of r so that the line through (6,r) and (9,2) is perpendicular to 5x-3y-9. Please help, I don't know how to do this at all. Thanks in advance. \n" ); document.write( "
Algebra.Com's Answer #329381 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Determine the value of r so that the line through (6,r) and (9,2) is perpendicular to 5x-3y-9. \n" ); document.write( "** \n" ); document.write( "assuming given equation is correctly written as follows: \n" ); document.write( "5x-3y=9 \n" ); document.write( "rewrite in standard form for a straight line: y=mx+b, m=slope, b= y-intercept \n" ); document.write( "3y=5x-9 \n" ); document.write( "y=5x/3-3 \n" ); document.write( "slope,m,=5/3 \n" ); document.write( ".. \n" ); document.write( "Slope of line perpendicular to given equation and passing thru (6,r) and (9,2) \n" ); document.write( "=-1/m=-3/5=∆y/∆x=(2-r)/(9-6) \n" ); document.write( "-3/5=(2-r)/3 \n" ); document.write( "-9=10-5r \n" ); document.write( "5r=10+9=19 \n" ); document.write( "r=19/5 \n" ); document.write( " |