document.write( "Question 694252: The equation of the line that goes through the point (7,7) and is perpendicular to the line 2x+5y=4 \n" ); document.write( "
Algebra.Com's Answer #427928 by Ave(106)![]() ![]() You can put this solution on YOUR website! First put that equation in slope intercept so we can find the slope \n" ); document.write( "5y=-2x+4 \n" ); document.write( "y=-2/5x+4/5 \n" ); document.write( "Slope is -2/5, so the slope of a perpendicular line would be 5/2 \n" ); document.write( "Now use point slope form to find the new equation \n" ); document.write( "y-y1=slope(x-x1) x1, and y1 are the points from (7,7) \n" ); document.write( "y-7=5/2(x-7) multiply both sides by 2 to get rid of fraction \n" ); document.write( "2y-14=5x-35 \n" ); document.write( "2y=5x-21 \n" ); document.write( "---- \n" ); document.write( "y=5/2x-21/2<- Answer in slope intercept form \n" ); document.write( "---- \n" ); document.write( "-5x+2y=-21 <- Answer in standard form\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |