document.write( "Question 62898: Write the slope-intercept form of the equation of the line through (-1,2) that is perpendicular to the line x+3y=4 hope you can help, thanks \n" ); document.write( "
Algebra.Com's Answer #43730 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! FIND THE SLOPE OF THE EQUATION X+3Y=4 THUS \n" ); document.write( "3Y=-X+4 \n" ); document.write( "Y=(-1/3)X+4/3 THUS THE SLOPE IS -1/3 \n" ); document.write( "A LINE PERPENDICULAR TO THIS LINE MUST HAVE A SLOPE THAT IS THE NEGATIVE RECIPRICLE OF THIS SLOPE THUS THE NEW SLOPE IS 3 \n" ); document.write( "SO Y=3X+b NOW SUBSTITUTING THE X & Y VALUS FOR THE POINT WE GET THE Y INTERCEPT \n" ); document.write( "2=3*-1+b \n" ); document.write( "2=-3+b \n" ); document.write( "2+3=b \n" ); document.write( "5=b THUS WE HAVE THE FORMULAR FOR THIS LINE \n" ); document.write( "Y=3X+5 THAT HAS A SLOPE OF 3, A Y INTERCEPT OF 5 & PASSES THROUGH THE POINTS \n" ); document.write( "(-1,2) \n" ); document.write( " |