document.write( "Question 150339: Write the equation of a line in standard form, passing through (-2,-3) and parallel to a line with the equation 3x-y=2 \n" ); document.write( "
Algebra.Com's Answer #110406 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write the equation of a line in standard form, passing through (-2,-3) and parallel to a line with the equation 3x-y=2 \n" ); document.write( ": \n" ); document.write( "Since they are parallel both lines will have the same slope \n" ); document.write( "Find the slope from the given equation, put it in the slope/intercept form \n" ); document.write( ": \n" ); document.write( "3x - y = 2 \n" ); document.write( "-y = -3x + 2 \n" ); document.write( "y = +3x - 2; y has to be positive, multiply by -1 \n" ); document.write( "the slope: m = 3 \n" ); document.write( ": \n" ); document.write( "Find the line with coordinates -2,-3 and m=3; \n" ); document.write( "use point slope formula y - y1 = m(x-x1) \n" ); document.write( ": \n" ); document.write( "y -(-3) = 3(x - (-2)) \n" ); document.write( "y + 3 = 3(x + 2) \n" ); document.write( "y + 3 = 3x + 6 \n" ); document.write( "y = 3x + 6 - 3 \n" ); document.write( "y = 3x + 3 \n" ); document.write( "Standard form \n" ); document.write( "-3x + y = 3 \n" ); document.write( "or \n" ); document.write( "3x - y = -3 \n" ); document.write( " |