document.write( "Question 491027: Write an equation for the line containing (-6, -6) and (-3, 1)? \n" ); document.write( "
Algebra.Com's Answer #334429 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Here are 2 examples using 2 different methods. \n" ); document.write( "Determinants is much simpler, imo. \n" ); document.write( "----------------- \n" ); document.write( "Write the equation of the line AB that passes through the following points: \n" ); document.write( "A(-2,4) B(5,6) \n" ); document.write( "Find the slope, m = diffy/diffx \n" ); document.write( "m = (4-6)/(-2-5) = -2/-7 \n" ); document.write( "m = 2/7 \n" ); document.write( "-------- \n" ); document.write( "Use y = mx + b and either point to find b \n" ); document.write( "6 = (2/7)*5 + b \n" ); document.write( "b = 6 - 10/7 \n" ); document.write( "b = 32/7 \n" ); document.write( "y = mx + b \n" ); document.write( "y = (2/7)x + 32/7 Slope-intercept form \n" ); document.write( "2x - 7y = -32 Standard form \n" ); document.write( "-------------------- \n" ); document.write( "and A(-3,-4) B(2,8) \n" ); document.write( "Do it like the 1st one, or \n" ); document.write( "--------------------------------- \n" ); document.write( "Using determinants \n" ); document.write( "--------------- \n" ); document.write( "|+x +y +1| \n" ); document.write( "|-3 -4 +1| = 0 \n" ); document.write( "|+2 +8 +1| \n" ); document.write( "-------------- \n" ); document.write( "x(-4-8) -y(-3-2) + (-24+8) = 0 \n" ); document.write( "-12x + 5y = 16 \n" ); document.write( "12x - 5y = -16 \n" ); document.write( " \n" ); document.write( " |