document.write( "Question 534274: write the slope-intercept form of the equation of the line that is perpendicular to 2x-5y=10 and passes through points (2,4) \n" ); document.write( "
Algebra.Com's Answer #351443 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! The slope intercept form of a linear equation is: y=mx+b. \n" ); document.write( ". \n" ); document.write( "2x -5y = 10 \n" ); document.write( "-5y = -2x +10 \n" ); document.write( "y = 2/5*x -2 \n" ); document.write( ". \n" ); document.write( "The line perpendicular to this line will have a slope = inverse reciprocal: -5/2. \n" ); document.write( ". \n" ); document.write( "y = -5/2*x + b \n" ); document.write( ". \n" ); document.write( "Use the point (2,4) to find 'b'. \n" ); document.write( ". \n" ); document.write( "4 = -5/2*2 + b \n" ); document.write( "4 + 5 = b \n" ); document.write( "b = 9 \n" ); document.write( ". \n" ); document.write( "y = -5/2*x + 9 \n" ); document.write( ". \n" ); document.write( " |