document.write( "Question 325058: What line is perpendicular to y=3/5x+1 but contains (5,2)? \n" ); document.write( "
Algebra.Com's Answer #232773 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Slopes of perpendicular lines are negative reciprocals of each other.\r \n" ); document.write( "\n" ); document.write( "Your given slope is 3/5. The slope of the equation we want to find is -5/3.\r \n" ); document.write( "\n" ); document.write( "We use the point-slope formula: y - a = m(x - b), where the given point (5,2) represents the general point (b,a).\r \n" ); document.write( "\n" ); document.write( "NOTE: I used a and b to represent the given point but you can use any two letters of choice.\r \n" ); document.write( "\n" ); document.write( "Let m = -5/3\r \n" ); document.write( "\n" ); document.write( "Let a = 2\r \n" ); document.write( "\n" ); document.write( "Let b = 5\r \n" ); document.write( "\n" ); document.write( "y - 2 = (-5/3)(x - 5)\r \n" ); document.write( "\n" ); document.write( "y - 2 = (-5/3)(x) + (25/3)\r \n" ); document.write( "\n" ); document.write( "y = (-5/3)(x) + (25/3) + 2\r \n" ); document.write( "\n" ); document.write( "y = (-5/3)(x) + (31/3)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |