document.write( "Question 550374: Write the equation for the line that is (a)parallel and (a) perpendicular to y= 8\7x+6 passing through (-2,2) \n" ); document.write( "
Algebra.Com's Answer #358684 by mananth(16946)![]() ![]() You can put this solution on YOUR website! PARALLEL\r \n" ); document.write( "\n" ); document.write( " y = 8/7 x + 6 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 8/7 0.8 \n" ); document.write( "The slope of a line parallel to the above line will be the same \n" ); document.write( "The slope of the required line will be 8/7 \n" ); document.write( "m= 8/7 ,point ( -2 , 2 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "2 = -16/7 + b \n" ); document.write( "b= 30/7 \n" ); document.write( " \n" ); document.write( "m= 8/7 \n" ); document.write( "Plug value of the slope and b in y = mx +b \n" ); document.write( "The required equation isy = 8/ 7 x + 30/ 7 \r \n" ); document.write( "\n" ); document.write( "PERPENDICULAR \r \n" ); document.write( "\n" ); document.write( "1 y = 8/7 x + 6 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 8/7 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal -7/8 \n" ); document.write( "m1*m2=-1 \n" ); document.write( "The slope of the required line will be -7/8 \n" ); document.write( " \n" ); document.write( "m= - 7/8 ,point ( -2 , 2 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "2 = 7/4 + b \n" ); document.write( "b= 1/4 \n" ); document.write( "m= - 7/8 \n" ); document.write( "The required equation is y = - 7/ 8 x + 1/ 4 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |