document.write( "Question 358100: Find the equations of the lines that pass through the points given.\r
\n" ); document.write( "\n" ); document.write( "1. (-1,2)(-4,0)
\n" ); document.write( "2. (3,1)+(-2,11) \n" ); document.write( "
Algebra.Com's Answer #255619 by checkley77(12844)\"\" \"About 
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Y=mX+b IS THE LINEAR EQUATION.
\n" ); document.write( "m=slope=(Y2-Y1)/(X2-X1)
\n" ); document.write( "b=the Y intercept.
\n" ); document.write( "1. (-1,2)(-4,0)
\n" ); document.write( "m=(0-2)/(-4+1)
\n" ); document.write( "m=-2/-3=2/3 ans. for the slope.
\n" ); document.write( "2=2/3*-1+b
\n" ); document.write( "2=-2/3+b
\n" ); document.write( "b=2+2/3
\n" ); document.write( "b=6/3+2/3=8/3 ans. for the Y intercept.
\n" ); document.write( "Y=2X/3+8/3 (red line)
\n" ); document.write( "---------------------------
\n" ); document.write( "2. (3,1)+(-2,11)
\n" ); document.write( "m=(11-1)/(-2-3)
\n" ); document.write( "m=10/-5=-2 ans. for the slope.
\n" ); document.write( "1=3*-2+b
\n" ); document.write( "1=-6+b
\n" ); document.write( "b=1+6
\n" ); document.write( "b=7 ans/ for the Y intercept.
\n" ); document.write( "Y=-2X+7 (green line)
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%2F3+%2B8%2F3%2C+-2x+%2B7%29+\" (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x/3 +8/3 and -2x +7). \n" ); document.write( "
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