document.write( "Question 182441: Please help me solve this problem.\r
\n" );
document.write( "\n" );
document.write( "An equation in slope-intercept form for the line passing through each pair of points:
\n" );
document.write( "(9, -1) and 6, -2)\r
\n" );
document.write( "\n" );
document.write( "Thank you,
\n" );
document.write( "Doris \n" );
document.write( "
Algebra.Com's Answer #136940 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Please help me solve this problem. \n" ); document.write( "An equation in slope-intercept form for the line passing through each pair of points: \n" ); document.write( "(9, -1) and 6, -2) \n" ); document.write( "------------------ \n" ); document.write( "The hard way: \n" ); document.write( "Find the slope \n" ); document.write( "slope, m, = diffy/diffx \n" ); document.write( "m = (-1-(-2))/(9-6) \n" ); document.write( "m = 1/3 \n" ); document.write( "-------------- \n" ); document.write( "Now use either point in \n" ); document.write( "y-y1 = m*(x-x1) where (x1,y1) is the point \n" ); document.write( "y-(-2) = (1/3)*(x-6) \n" ); document.write( "y+2 = x/3 - 2 \n" ); document.write( "y = (1/3)x - 4 \n" ); document.write( "------------ \n" ); document.write( "------------ \n" ); document.write( "The easy way: \n" ); document.write( "|x y +1| \n" ); document.write( "|9 -1 1| = 0 \n" ); document.write( "|6 -2 +1| \n" ); document.write( "- - - - - \n" ); document.write( "x*(-1+2) - y*(9-6) +1*(-18+6) = 0 \n" ); document.write( "x -3y -12 = 0 \n" ); document.write( "x-3y = 12 \n" ); document.write( "x = 3y+12 \n" ); document.write( "y = (1/3)x - 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "| \n" ); document.write( " \n" ); document.write( " |