document.write( "Question 1180492: Find the equation of the line perpendicular to y = x -2 that passes through the point (0,4). \n" ); document.write( "
Algebra.Com's Answer #810177 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the perpendicular line will have a slope that is the negative reciprocal of the slope of the line that it is perpendicular to.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the line that it is perpendicular to is y = x - 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope of that line is 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the negative reciprocal of that slope is -1/1 = -1. \n" ); document.write( "the slope intercept form of the perpendicuoar line is y = -x + b.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the perpendicular line goes thorough the point (0,4),.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation becomes y = -x + 4. \n" ); document.write( "-1 is the slope. \n" ); document.write( "4 is the y-intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the y-intercept is the value of y when the vlaue os x = 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "at the poijt (0,4), the value of x = 0 and the value of y = 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that makes y equal to the y-intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your two equqtions are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = x - 2 \n" ); document.write( "y = -2 + 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "these lines can be graphed as shown below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |