document.write( "Question 1026202: Find the equation of the line that passes though (2,5) and is parallel to 4x-y=7. Write the equation in slope-intercept form. \n" ); document.write( "
Algebra.Com's Answer #641462 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 4 x -1 y = 7 \n" ); document.write( "Find the slope of this line \n" ); document.write( "make y the subject \n" ); document.write( "-1 y = -4 x + 7 \n" ); document.write( "Divide by -1 \n" ); document.write( " y = 4 x -7 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 4 \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 4 \n" ); document.write( "m= 4 ,point ( 2 , 5 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "5 = 8 + b \n" ); document.write( "b= -3 \n" ); document.write( "m= 4 \n" ); document.write( "Plug value of the slope and b in y = mx +b \n" ); document.write( "The required equation is y = 4 x -3 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |