document.write( "Question 1027643: The line,L9,passes through the point (1,-4)and is parallel to the line y + x - 3 = 0, find the equation of L9 \n" ); document.write( "
Algebra.Com's Answer #642894 by mananth(16946)![]() ![]() You can put this solution on YOUR website! PARALLEL \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 3 \n" ); document.write( "Find the slope of this line \n" ); document.write( "make y the subject \n" ); document.write( "1 y = -1 x + 3 \n" ); document.write( "Divide by 1 \n" ); document.write( " y = -1 x + 3 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = -1 \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 -1 \n" ); document.write( "m= -1 ,point ( 1 , -4 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "-4 = -1 + b \n" ); document.write( "b= -3 \n" ); document.write( "m= -1 \n" ); document.write( "Plug value of the slope and b in y = mx +b \n" ); document.write( "The required equation is y = - x -3 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |