document.write( "Question 519204: Write an equation in slope intercept form for the line that passes through (2,4) and is perpendicular to the line y=2x-3 \n" ); document.write( "
Algebra.Com's Answer #345445 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! The line y = 2x-3 is in slope-intercept form. \n" ); document.write( "2 = slope \n" ); document.write( "-3 = y-intercept \n" ); document.write( ". \n" ); document.write( "A line perpendicular to the line y = 2x-3 will have a slope of -1/2, which is the inverse reciprocal of 2. \n" ); document.write( ". \n" ); document.write( "y = -1/2x + b \n" ); document.write( ". \n" ); document.write( "Then use the point you want to go through to find 'b'. \n" ); document.write( ". \n" ); document.write( "4 = -1/2(2) + b \n" ); document.write( "4 = -1 + b \n" ); document.write( "b = 5 \n" ); document.write( ". \n" ); document.write( "y = -1/2x +5 \n" ); document.write( ". \n" ); document.write( "In the following graph, y= 2x-3 is red; y = -1/2x + 5 is green. \n" ); document.write( ". \n" ); document.write( " |