document.write( "Question 179701: Find the equation, in standard form, of the line perpendicular to 2x - 3y = -5 and passing through (3, -2). Write the equation in standard form, with all integer coefficients. Show steps \n" ); document.write( "
Algebra.Com's Answer #134614 by HyperBrain(694)![]() ![]() ![]() You can put this solution on YOUR website! 2x - 3y = -5 \n" ); document.write( "2x=3y-5 \n" ); document.write( "3y=2x+5 \n" ); document.write( "y=2/3x+5/3 \n" ); document.write( "Thus, the slope of this line is 2/3.\r \n" ); document.write( "\n" ); document.write( "So the slope of any line perpendicular to it is -3/2.\r \n" ); document.write( "\n" ); document.write( "We use here the point slope form.\r \n" ); document.write( "\n" ); document.write( "Since the unknown line passes through (3,-2), \n" ); document.write( "y+2=-3/2(x-3) \n" ); document.write( "2y+2=-3(x-3)=-3x+9 \n" ); document.write( "3x+2y-7=0>>Ans.\r \n" ); document.write( "\n" ); document.write( "Power up, \n" ); document.write( "HyperBrain!\r \n" ); document.write( "\n" ); document.write( "Stop this mess! Click here \n" ); document.write( " \n" ); document.write( " |