document.write( "Question 610080: find the equation of the line passing through (2,1) and (-3,5). find the x and y intercepts. thankyouuu \n" ); document.write( "
Algebra.Com's Answer #384115 by josmiceli(19441)\"\" \"About 
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First, choose the form of the equation.
\n" ); document.write( "\"+y+=+m%2Ax+%2B+b+\" is the slope-intercept form
\n" ); document.write( "---------------
\n" ); document.write( "The line goes through (2,1), so I can say
\n" ); document.write( "(1) \"+1+=+m%2A2+%2B+b+\"
\n" ); document.write( "---------------
\n" ); document.write( "The line goes through (-3,5), so I can say
\n" ); document.write( "(2) \"+5+=+m%2A%28-3%29+%2B+b+\"
\n" ); document.write( "---------------
\n" ); document.write( "(1) \"+2m+%2B+b+=+1+\"
\n" ); document.write( "(2) \"+-3m+%2B+b+=+5+\"
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) \"+2m+%2B+b+=+1+\"
\n" ); document.write( "(2) \"+3m+-+b+=+-5+\"
\n" ); document.write( "\"+5m+=+-4+\"
\n" ); document.write( "\"+m+=+-4%2F5+\"
\n" ); document.write( "So far I have
\n" ); document.write( "\"+y+=+%28-4%2F5%29%2Ax+%2B+b+\"
\n" ); document.write( "------------------
\n" ); document.write( "Now plug (x,y) in from either of the 2 points
\n" ); document.write( "(2,1)
\n" ); document.write( "\"+1+=+%28-4%2F5%29%2A2+%2B+b+\"
\n" ); document.write( "\"+1+=+-8%2F5+%2B+b+\"
\n" ); document.write( "\"+b+=+5%2F5+%2B+8%2F5+\"
\n" ); document.write( "\"+b+=+13%2F5+\"
\n" ); document.write( "-------------
\n" ); document.write( "The equation of the line is:
\n" ); document.write( "\"+y+=+%28-4%2F5%29%2Ax+%2B+13%2F5+\"
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "(2,1)
\n" ); document.write( "\"+1+=+%28-4%2F5%29%2A2+%2B+13%2F5+\"
\n" ); document.write( "\"+1+=+-8%2F5+%2B+13%2F5+\"
\n" ); document.write( "\"+1+=+5%2F5+\"
\n" ); document.write( "\"+1=1+\"
\n" ); document.write( "--------
\n" ); document.write( "(-3,5)
\n" ); document.write( "\"+5+=+%28-4%2F5%29%2A%28-3%29+%2B+13%2F5+\"
\n" ); document.write( "\"+5+=+12%2F5+%2B+13%2F5+\"
\n" ); document.write( "\"+25+=+12+%2B+13+\"
\n" ); document.write( "\"+25+=+25+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );