document.write( "Question 1066457: Find the equation of the line through (-6,10), parallel to the line with equation 3x-7y=14. Write the new equation in point-slope form. Convert the equation of the new line to standard form, Ax+By=C, where A, B, and C are integers. \n" ); document.write( "
Algebra.Com's Answer #681633 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! 3x-7y=14 \n" ); document.write( "-7y=-3x+14 \n" ); document.write( "y=(3x/7)-2 \n" ); document.write( "the slope is (3/7) \n" ); document.write( "Parallel lines have the same slope \n" ); document.write( "point slope formula y-y1=m(x-x1), where m is the slope (3/7) and (x1,y1) the point. \n" ); document.write( "y-10=(3/7)(x+6) \n" ); document.write( "y-10=(3x/7)+(18/7) \n" ); document.write( "y=(3/7)x+(88/7) \n" ); document.write( "multiply by 7 \n" ); document.write( "move x to left \n" ); document.write( "multiply by -1 to make coefficient of x positive \n" ); document.write( "7y=3x+88 \n" ); document.write( "3x-7y=-88 \n" ); document.write( " |