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You can put this solution on YOUR website!
\n" ); document.write( "Here is another way -- that I find easier and faster -- to answer questions like this about lines parallel or perpendicular to a given line.
\n" ); document.write( "(1) Put the equation in the form Ax+By=C.
\n" ); document.write( "(2a) Every line parallel to the given line will have an equation also of the form Ax+By=K for some constant K. (If K is the same constant as C, the lines are of course the same line, not parallel lines.)
\n" ); document.write( "(2b) Every line perpendicular to the given line will have an equation of the form Bx-Ay=K for some constant K. Note that the two coefficients have switched places, and one of them has changed sign.
\n" ); document.write( "Let's apply this method to your problem, where we want an equation of the line through (3,7) perpendicular to the equation 3y = 4-2x.
\n" ); document.write( "Step 1: put the equation in the required form: 2x+3y = 4.
\n" ); document.write( "Step 2: Since we want a perpendicular line, it will have an equation of the form 3x-2y = K, where K is some constant.
\n" ); document.write( "The constant is easily determined, knowing that the coordinates of the given point must satisfy the equation:
\n" ); document.write( "
\n" ); document.write( "The equation (in this form) of the line we are looking for is 3x-2y = -5. \n" ); document.write( "