document.write( "Question 670835: If a line intersects the x-axis at (a,0) and the y-axis at (0,b) at what point does it intersect the line y=x?
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Algebra.Com's Answer #417153 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The equation of the line through
\n" ); document.write( "(a,0) and (0,b) has slope = \"+b%2Fa+\"
\n" ); document.write( "and the y-intercept is \"+b+\"
\n" ); document.write( "The equation is \"+y+=+%28b%2Fa%29%2Ax+%2B+b+\"
\n" ); document.write( "\"+y+=+x+\"
\n" ); document.write( "\"+x+=+%28b%2Fa%29%2Ax+%2B+b+\"
\n" ); document.write( "\"+%28+1+-+%28b%2Fa%29+%29%2Ax++=+b+\"
\n" ); document.write( "\"+%28+%28+a+-+b+%29+%2F+a+%29+%2A+x++=+b+\"
\n" ); document.write( "\"+x+=+%28+a+%2F+%28+a+-+b+%29+%29%2Ab+\"
\n" ); document.write( "\"+x+=+%28+a%2Ab+%29+%2F+%28+a+-+b+%29+\"
\n" ); document.write( "And, since \"+y+=+x+\", the intersection is at
\n" ); document.write( "( (a*b)/( a-b ) , (a*b)/( a-b ) ) answer
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\n" ); document.write( "check answer:
\n" ); document.write( "Suppose \"+a+=+3+\" , \"+b+=+7+\"
\n" ); document.write( "\"+y+=+%28+7%2F3+%29%2Ax++%2B+7+\"
\n" ); document.write( "\"+y+=+x+\"
\n" ); document.write( "\"+%287%2F3%29%2Ax+-+x+=+-7+\"
\n" ); document.write( "\"+%284%2F3%29%2Ax+=+-7+\"
\n" ); document.write( "\"+x+=+-21%2F4+\"
\n" ); document.write( "and
\n" ); document.write( "\"+x+=+%28+a%2Ab+%29+%2F+%28+a+-+b+%29+\"
\n" ); document.write( "\"+x+=+21+%2F+%28+3+-+7+%29+\"
\n" ); document.write( "\"+x+=+-21%2F4+\"
\n" ); document.write( "\"+y+=+-21%2F4+\"
\n" ); document.write( "OK\r
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