document.write( "Question 457172: Find an equation for a line passing through the point (0, 2) and parallel to the line 6x - 5y = 3. You may write your answer in any of the three forms--point-slope, slope-intercept, or standard form. \n" ); document.write( "
Algebra.Com's Answer #313709 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 6 x -5 y = 3 \n" ); document.write( "Find the slope of this line \n" ); document.write( "make y the subject \n" ); document.write( "-5y=-6x+3 \n" ); document.write( "Divide by -5 \n" ); document.write( " y =1.2x-0.6 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 1.2 0.8 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 0.8 \n" ); document.write( "m= 0.8 ,point ( 0 , 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=b \n" ); document.write( "b=2 \n" ); document.write( "m=0.8 \n" ); document.write( "Plug value of the slope and b in y = mx +b \n" ); document.write( "The required equation is y =0.8x+2 (0.8=4/5) \n" ); document.write( "y= 4/5x+2 \n" ); document.write( " \n" ); document.write( " |