document.write( "Question 705313: I am trying to understand the operation of this equation.
\n" ); document.write( "The instructions say to:
\n" ); document.write( "Write the equation of a line perpendicular to the given line but passing through the given points.\r
\n" ); document.write( "\n" ); document.write( "y=-2/3x + 2 points (9,-3)\r
\n" ); document.write( "\n" ); document.write( "Now from what I have read, a perpendicular slop is the opposite reciprocal.
\n" ); document.write( "Am I right so far??
\n" ); document.write( "If this is true then the reciprocal would be this:\r
\n" ); document.write( "\n" ); document.write( "y=3/2x + 2\r
\n" ); document.write( "\n" ); document.write( "Correct or have I misunderstood??\r
\n" ); document.write( "\n" ); document.write( "Anyways, I'm curious as to how to work the rest of the equation.
\n" ); document.write( "I have the points to plug in but do I use those numbers or is there a different
\n" ); document.write( "execution of this equation??\r
\n" ); document.write( "\n" ); document.write( "I have tried to follow the examples that I was given but none have a fraction in it so I can understand it better. \r
\n" ); document.write( "\n" ); document.write( "Any type of guidance to let me know I am on the right track, would greatly help.\r
\n" ); document.write( "\n" ); document.write( "I know how to work and get the line parallel to a line that is passing through given points. If it is similar to that, which I am sure it's not, then let me know.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #434496 by htmentor(1343)\"\" \"About 
You can put this solution on YOUR website!
You are correct that the line perpendicular to y = -2/3x + 2 has the slope m = 3/2.
\n" ); document.write( "So the equation for this line is y = 3/2 x + b.
\n" ); document.write( "Now use the point on the line (9,-3) to find the y-intercept, b.
\n" ); document.write( "-3 = (3/2)9 + b
\n" ); document.write( "b = -3 - 27/2 = -33/2
\n" ); document.write( "So the equation is y = (3/2)x - 33/2
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