document.write( "Question 87424: Find the equation of the line passing through the two points.
\n" ); document.write( "(8, -2) and (5, -7). \n" ); document.write( "
Algebra.Com's Answer #63350 by Flake(45)\"\" \"About 
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---Step#1: Know equation for a line
\n" ); document.write( "General Equation for the line is Y=mX+b; where m is the slope and b is the y-intercept.
\n" ); document.write( "---Step#2: Solve for \"m\" the slope
\n" ); document.write( "Moving from left to right, (5, -7) comes before (8,-2)
\n" ); document.write( "Slope is define as \"Rise over the Run\" or Rise/Run
\n" ); document.write( "---Solving Rise: Moving from left to right, you moved up from -7 to -2, that's positive 5
\n" ); document.write( "---Solving for Run: Moving from left to right, you moved from 5 to 8, thats's positive 3.
\n" ); document.write( "So, Slope = m = Rise/Run is 5/3\r
\n" ); document.write( "\n" ); document.write( "---Step#3: Solving for \"b\"
\n" ); document.write( "You equation now is Y=(5/3)X+b
\n" ); document.write( "Substitude (5,-7) in to your equation
\n" ); document.write( "Y=(5/3)X+b
\n" ); document.write( "becomes -7 = (5/3)(5)+b
\n" ); document.write( "becomes b=-7-(25/3) = -46/3\r
\n" ); document.write( "\n" ); document.write( "Now your equation should become Y=(5/3)X-(46/3)\r
\n" ); document.write( "\n" ); document.write( "---Check with (8, -2)
\n" ); document.write( "-2 = (5/3)(8)-(46/3) -----------yes.
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