document.write( "Question 530828: a line passing through (0,6) and (2,1) can i get a step by step in words not numbers please. \n" ); document.write( "

Algebra.Com's Answer #350214 by josmiceli(19441) $\"\"$ $\"About$

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What is the equation of the line passing through
\n" ); document.write( "(0,6) and (2,1) ?
\n" ); document.write( "the point-slope formula says:
\n" ); document.write( "( change in y ) / ( change in x ) = ( change in y ) / ( change in x )
\n" ); document.write( "Suppose I call the 2 given points $\"+P%5B1%5D+\"$ , and $\"+P%5B2%5D+\"$
\n" ); document.write( " $\"+P%5B1%5D+\"$ = (x1 , y1)
\n" ); document.write( " $\"+P%5B2%5D+\"$ = (x2 , y2)
\n" ); document.write( "Change in y = y2 - y1
\n" ); document.write( "Change in x = x2 - x1
\n" ); document.write( "-----------------
\n" ); document.write( "The formula uses the concept that any point (x,y) is also
\n" ); document.write( "OK to use, so I can say
\n" ); document.write( "( change in y ) / ( change in x ) = ( y - y1 ) / ( x - x1 )
\n" ); document.write( "-----------------
\n" ); document.write( "Putting these ideas together,
\n" ); document.write( "( y - y1 ) / ( x - x1 ) = ( y2 - y1 ) / ( x2 - x1 )
\n" ); document.write( "Now you just have to substitute the actual numbers:
\n" ); document.write( "(x1,y1) = (0,6)
\n" ); document.write( "(x2,y2) = (2,1)
\n" ); document.write( " $\"+%28+y+-+6+%29+%2F+%28+x+-+0+%29+=+%28+1+-+6+%29+%2F+%28++2+-+0+%29+\"$
\n" ); document.write( " $\"+%28+y+-+6+%29+%2F+x+=+-5%2F2+\"$
\n" ); document.write( " $\"+y+-+6+=+%28-5%2F2%29%2Ax+\"$
\n" ); document.write( " $\"+y+=+%28-5%2F2%29%2Ax+%2B+6+\"$
\n" ); document.write( "check answer:
\n" ); document.write( "(2,1)
\n" ); document.write( " $\"+1+=+%28-5%2F2%29%2A2+%2B+6+\"$
\n" ); document.write( " $\"+1+=+-5+%2B+6+\"$
\n" ); document.write( " $\"+1+=+1+\"$
\n" ); document.write( "OK \n" ); document.write( "

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