document.write( "Question 835468: how do you write (5,7) and (-7,5) into a general form linear equation? \n" ); document.write( "
Algebra.Com's Answer #503565 by LinnW(1048)\"\" \"About 
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First find the equation in slope intercept ( y = mx + b ) form
\n" ); document.write( "The first step is to find the slope m.
\n" ); document.write( "m = (y2-y1)/(x2-x1) where (x1,y1) = (5,7) and (x2,y2) = (-7,5)
\n" ); document.write( "m = (5 - 7)/(-7 -5)
\n" ); document.write( "m = (-2)/(-12)
\n" ); document.write( "m = 1/6
\n" ); document.write( "Now substitute 1/6 for m , 5 for x and 7 for y in y = mx +b
\n" ); document.write( "7 = (1/6)(5) + b
\n" ); document.write( "7 = 5/6 + b
\n" ); document.write( "add -5/6 to each side
\n" ); document.write( "6 1/6 = b
\n" ); document.write( "37/6 = b
\n" ); document.write( "Our equation is y = (1/6)x + 37/6
\n" ); document.write( "Now we need to change to general form.
\n" ); document.write( "Multiply each side by 6
\n" ); document.write( "6y = x + 37
\n" ); document.write( "add -x to each side.
\n" ); document.write( "-x + 6y = 37
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