document.write( "Question 998609: Not sure if this is the right topic but here is the problem:\r
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document.write( "Find the equation of the line containing the point p(-1,3) and perpendicular to the graph of 2x+4y=-1. \n" );
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Algebra.Com's Answer #616375 by addingup(3677)![]() ![]() You can put this solution on YOUR website! We use the formula for the standard slope-intercept: y= mx+b, where m is the slope and b the y-intercept (the point at which the slope line touches the vertical y line. Y is always the vertical, x is always the horizontal): \n" ); document.write( "Line perpendicular to the graph of: \n" ); document.write( "2x + 4y = -1 \n" ); document.write( "Divide both sides by 2x+4: \n" ); document.write( "y = -(1/2)x - 1/4 - Green line on graph \n" ); document.write( "---------------------------------- \n" ); document.write( "The slope of the line is m= 2 (negative reciprocal of -1/2. If you don't remember how to do this: To find the negative reciprocal, flip the number and then if it's positive make it negative -- and if it's negative make it positive) \n" ); document.write( "--------------------------- \n" ); document.write( "Now let's use the ordered pair (-1,3) to solve for b: \n" ); document.write( "y = 2x+ b \n" ); document.write( "3 = -2 + b \n" ); document.write( "5 = b \n" ); document.write( "y = 2x + 5 - Blue line on graph \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |